Universität zu Köln

2020

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mahlburg, Karl and Milas, Antun (2020). Higher depth quantum modular forms and plumbed 3-manifolds. Letters in Mathematical Physics, 110 (10). pp. 2675-2702. Springer. ISSN 0377-9017

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kaszian, Jonas ORCID: 0000-0003-4111-5886 and Zhou, Jie (2020). Generating functions of planar polygons from homological mirror symmetry of elliptic curves. Research in Number Theory, 6 (3). Springer. ISSN 2522-0160

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and KANE, BEN ORCID: 0000-0003-4074-7662 (2020). AN EXTENSION OF ROHRLICH’S THEOREM TO THE j-FUNCTION. Forum of Mathematics, Sigma, 8. Cambridge University Press. ISSN 2050-5094

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and KANE, BEN ORCID: 0000-0003-4074-7662 (2020). Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms. Advances in Mathematics, 373. p. 107308. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Jennings-Shaffer, Chris ORCID: 0000-0002-6492-3854 (2020). Some q-series identities extending work of Andrews, Crippa, and Simon on sums of divisors functions. Discrete Mathematics, 343 (10). p. 112019. Elsevier. ISSN 0012365X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mahlburg, Karl and Milas, Antun (2020). Quantum modular forms and plumbing graphs of 3-manifolds. Journal of Combinatorial Theory, Series A, 170. p. 105145. Elsevier. ISSN 00973165

Alfes-Neumann, Claudia ORCID: 0000-0003-2056-5378, Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Schwagenscheidt, Markus (2020). On the rationality of cycle integrals of meromorphic modular forms. Mathematische Annalen, 376 (1-2). pp. 243-266. Springer. ISSN 0025-5831

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Jennings-Shaffer, Chris and Mahlburg, Karl (2020). Proofs and reductions of various conjectured partition identities of Kanade and Russell. Journal für die reine und angewandte Mathematik (Crelles Journal), 2020 (766). pp. 109-135. De Gruyter. ISSN 0075-4102

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mahlburg, Karl and Milas, Antun (2020). On characters of Lsln(−Λ0)-modules. Communications in Contemporary Mathematics, 22 (05). p. 1950030. World Scientific. ISSN 0219-1997

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Krauel, Matthew and Tuite, Michael (2020). Zhu reduction for Jacobi n-point functions and applications. Transactions of the American Mathematical Society, 373 (5). pp. 3261-3293. American Mathematical Society. ISSN 0002-9947

Alldridge, Alexander, Max, Christopher ORCID: 0000-0001-9887-0474 and Zirnbauer, Martin R. (2020). Bulk-Boundary Correspondence for Disordered Free-Fermion Topological Phases. Commun. Math. Phys., 377 (3). S. 1761 - 1822. NEW YORK: SPRINGER. ISSN 1432-0916

2019

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Folsom, A., Ono, K. and Rolen, L. (2019). “Harmonic Maass Forms and Mock Modular Forms: Theory and Applications”. Jahresbericht der Deutschen Mathematiker-Vereinigung, 121 (4). pp. 291-296. Springer. ISSN 0012-0456

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Jennings-Shaffer, Chris (2019). A Note on Andrews’ Partitions with Parts Separated by Parity. Annals of Combinatorics, 23 (3-4). pp. 573-578. Springer. ISSN 0218-0006

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Nazaroglu, Caner (2019). A framework for modular properties of false theta functions. Research in the Mathematical Sciences, 6 (3). Springer. ISSN 2522-0144

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Jennings-Shaffer, Chris ORCID: 0000-0002-6492-3854 (2019). Unimodal sequence generating functions arising from partition ranks. Research in Number Theory, 5 (3). Springer. ISSN 2522-0160

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Jennings-Shaffer, Chris, Mahlburg, Karl and Rhoades, Robert (2019). Peak positions of strongly unimodal sequences. Transactions of the American Mathematical Society, 372 (10). pp. 7087-7109. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Nazaroglu, Caner (2019). An exact formula for U(3) Vafa-Witten invariants on P₂. Transactions of the American Mathematical Society, 372 (9). pp. 6135-6159. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kaszian, Jonas and Milas, Antun (2019). Vector-valued higher depth quantum modular forms and higher Mordell integrals. Journal of Mathematical Analysis and Applications, 480 (2). p. 123397. Elsevier. ISSN 0022247X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Jenkins, Paul and Kane, Ben (2019). Differential operators on polar harmonic Maass forms and elliptic duality. The Quarterly Journal of Mathematics, 70 (4). pp. 1181-1207. Oxford University Press. ISSN 0033-5606

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kaszian, Jonas and Milas, Antun (2019). Higher depth quantum modular forms, multiple Eichler integrals, and sl₃false theta functions. Research in the Mathematical Sciences, 6 (2). Springer. ISSN 2522-0144

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kane, Ben and von Pippich, Anna-Maria (2019). Regularized inner products of meromorphic modular forms and higher Green’s functions. Communications in Contemporary Mathematics, 21 (05). p. 1850029. World Scientific. ISSN 0219-1997

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and KANE, BEN ORCID: 0000-0003-4074-7662 (2019). Sums of class numbers and mixed mock modular forms. Mathematical Proceedings of the Cambridge Philosophical Society, 167 (02). pp. 321-333. Cambridge University Press. ISSN 0305-0041

2018

Genz, Volker (2018). Crystal combinatorics and mirror symmetry for cluster varieties. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2018). Taylor coefficients of non-holomorphic Jacobi forms and applications. Research in the Mathematical Sciences, 5 (1). Springer. ISSN 2522-0144

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kaszián, Jonas and Rolen, Larry (2018). Indefinite theta functions arising in Gromov–Witten theory of elliptic orbifolds. Cambridge Journal of Mathematics, 6 (1). pp. 25-57. Boston: International Press. ISSN 21680930

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Jennings-Shaffer, Chris and Mahlburg, Karl (2018). On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's ω(q). Advances in Mathematics, 325. pp. 505-532. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kudla, Stephen ORCID: 0000-0002-6612-786X (2018). A classification of harmonic Maass forms. Mathematische Annalen, 370 (3-4). pp. 1729-1758. Springer. ISSN 0025-5831

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, KANE, BEN ORCID: 0000-0003-4074-7662, Löbrich, Steffen, Ono, Ken and Rolen, Larry (2018). On divisors of modular forms. Advances in Mathematics, 329. pp. 541-554. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Folsom, Amanda and Mahlburg, Karl (2018). Quasimodular forms and sℓ(m|m)∧ characters. The Ramanujan Journal, 47 (1). pp. 237-241. Springer. ISSN 1382-4090

2017

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Folsom, A., Ono, Ken ORCID: 0000-0003-3670-319X and Rolen, L. (2017). "Harmonic Maass Forms and Mock Modular Forms: Theory and Applications”. pp. 291-296. American Mathematical Society. ISBN 978-1-4704-1944-8

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben ORCID: 0000-0003-4074-7662 (2017). Regularized inner products and weakly holomorphic Hecke eigenforms. Journal of Physics A: Mathematical and Theoretical, 51 (4). 044001. IOP Science. ISSN 1751-8113

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Lovejoy, Jeremy and Rolen, Larry (2017). On Some Special Families of q-hypergeometric Maass Forms. International Mathematics Research Notices, 2018 (18). pp. 5537-5561. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mahlburg, Karl and Milas, Antun (2017). The Lusztig-Macdonald-Wall polynomial conjectures and q-difference equations. Contemporary Mathematics, 695. pp. 41-49. American Mathematical Society. ISSN 0271-4132

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Folsom, Amanda and Milas, Antun (2017). Asymptotic behavior of partial and false theta functions arising from Jacobi forms and regularized characters. Journal of Mathematical Physics, 58 (1). 011702. AIP Publishing. ISSN 0022-2488

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2017). Improved bounds for Fourier coefficients of Siegel modular forms. Journal of Mathematical Analysis and Applications, 451 (2). pp. 1123-1132. Elsevier. ISSN 0022247X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Milas, Antun (2017). W-algebras, higher rank false theta functions, and quantum dimensions. Selecta Mathematica, 23 (2). pp. 1249-1278. Springer. ISSN 1022-1824

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kane, Ben ORCID: 0000-0003-4074-7662, Parry, Daniel and Rhoades, Robert (2017). On the Andrews–Zagier asymptotics for partitions without sequences. Advances in Mathematics, 309. pp. 436-451. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben (2017). Ramanujan and coefficients of meromorphic modular forms. Journal de Mathématiques Pures et Appliquées, 107 (1). pp. 100-122. Elsevier. ISSN 00217824

Böhm, Janko, Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Buchholz, Arne and Markwig, Hannah (2017). Tropical mirror symmetry for elliptic curves. Journal für die reine und angewandte Mathematik (Crelles Journal), 2017 (732). pp. 211-246. De Gruyter. ISSN 0075-4102

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kane, Ben ORCID: 0000-0003-4074-7662, Löbrich, Steffen, Ono, Ken ORCID: 0000-0003-3670-319X and Rolen, Larry (2017). Number theoretic generalization of the monster denominator formula. Journal of Physics A: Mathematical and Theoretical, 50 (47). p. 473001. IOP Science. ISSN 1751-8113

Andersen, Nickolas, Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Rolen, Larry (2017). Images of Maass-Poincaré Series in the Lower Half-Plane. Contributions in Mathematical and Computational Sciences, 10. pp. 9-23. Springer. ISSN 2191-303X

2016

Zapata Rolón, José Miguel (2016). Exact and asymptotic formulas for the Fourier coefficients of automorphic forms. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Diamantis, Nikolaos and Ehlen, Stephan (2016). Regularized Inner Products and Errors of Modularity. International Mathematics Research Notices, 2017 (24). pp. 7420-7458. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Olivetto, René (2016). Kac-Wakimoto characters and non-holomorphic Jacobi forms. Transactions of the American Mathematical Society, 369 (2). pp. 1163-1184. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Manschot, Jan and Rolen, Larry (2016). Identities for Generalized Appell Functions and the Blow-up Formula. Letters in Mathematical Physics, 106 (10). pp. 1379-1395. Springer. ISSN 0377-9017

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Richter, Olav K. ORCID: 0000-0003-3886-0893 and Westerholt-Raum, Martin (2016). Almost holomorphic Poincaré series corresponding to products of harmonic Siegel–Maass forms. Research in the Mathematical Sciences, 3 (1). Springer. ISSN 2197-9847

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben ORCID: 0000-0003-4074-7662 (2016). A problem of Petersson about weight 0 meromorphic modular forms. Research in the Mathematical Sciences, 3 (1). pp. 1-31. Springer. ISSN 2197-9847

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Rolen, Larry and Zwegers, Sander (2016). On the Fourier coefficients of negative index meromorphic Jacobi forms. Research in the Mathematical Sciences, 3 (1). pp. 1-9. Springer. ISSN 2197-9847

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kim, Byungchan (2016). On the asymptotic behavior of unimodal rank generating functions. Journal of Mathematical Analysis and Applications, 435 (1). pp. 627-645. Elsevier. ISSN 0022247X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben (2016). Modular local polynomials. Mathematical Research Letters, 23 (4). pp. 973-987. Boston: International Press. ISSN 10732780

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Lovejoy, Jeremy and Mahlburg, Karl (2016). A partition identity and the universal mock theta function g2. Mathematical Research Letters, 23 (1). pp. 67-80. Boston: International Press. ISSN 10732780

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Folsom, Amanda (2016). Quantum Jacobi forms and finite evaluations of unimodal rank generating functions. Archiv der Mathematik, 107 (4). pp. 367-378. Springer. ISSN 0003-889X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben ORCID: 0000-0003-4074-7662 (2016). Polar harmonic Maass forms and their applications. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 86 (2). pp. 213-233. Springer. ISSN 0025-5858

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Rolen, Larry (2016). Half-integral weight Eichler integrals and quantum modular forms. Journal of Number Theory, 161. pp. 240-254. Elsevier. ISSN 0022314X

2015

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mertens, Michael H. and Ono, Ken (2015). p-adic properties of modular shifted convolution Dirichlet series. Proceedings of the American Mathematical Society, 144 (4). pp. 1439-1451. American Mathematical Society. ISSN 0002-9939

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Dousse, Jehanne (2015). On Dyson’s crank conjecture and the uniform asymptotic behavior of certain inverse theta functions. Transactions of the American Mathematical Society, 368 (5). pp. 3141-3155. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Guerzhoy, Pavel and Kane, Ben ORCID: 0000-0003-4074-7662 (2015). Half-integral weight p-adic coupling of weakly holomorphic and holomorphic modular forms. Research in Number Theory, 1 (1). Springer. ISSN 2363-9555

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Rolen, Larry and Zwegers, Sander (2015). On the modularity of certain functions from the Gromov–Witten theory of elliptic orbifolds. Royal Society Open Science, 2 (11). p. 150310. The Royal Society. ISSN 2054-5703

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Dousse, Jehanne, Lovejoy, Jeremy and Mahlburg, Karl (2015). Overpartitions with Restricted Odd Differences. The Electronic Journal of Combinatorics, 22 (3). International Press. ISSN 1077-8926

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mahlburg, Karl and Nataraj, Karthik (2015). Distinct Parts Partitions without Sequences. The Electronic Journal of Combinatorics, 22 (3). International Press. ISSN 1077-8926

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Milas, Antun (2015). On the Fourier expansion of Bloch–Okounkov n-point function. Journal of Combinatorial Theory, Series A, 136. pp. 201-219. Elsevier. ISSN 00973165

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Duncan, John ORCID: 0000-0001-6944-9840 and Rolen, Larry (2015). Maass–Jacobi Poincaré series and Mathieu Moonshine. Advances in Mathematics, 281. pp. 248-278. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Rolen, Larry (2015). Radial limits of mock theta functions. Research in the Mathematical Sciences, 2 (1). Springer. ISSN 2197-9847

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Milas, Antun (2015). W-algebras, False Theta Functions and Quantum Modular Forms, I. International Mathematics Research Notices, 2015 (21). pp. 11351-11387. Oxford University Press. ISSN 1073-7928

Andrews, George, Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Mahlburg, Karl (2015). Double series representations for Schur's partition function and related identities. Journal of Combinatorial Theory, Series A, 132. pp. 102-119. Elsevier. ISSN 00973165

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Guerzhoy, Pavel and KANE, BEN ORCID: 0000-0003-4074-7662 (2015). On cycle integrals of weakly holomorphic modular forms. Mathematical Proceedings of the Cambridge Philosophical Society, 158 (3). pp. 439-449. Cambridge University Press. ISSN 0305-0041

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Mahlburg, Karl (2015). False theta functions and companions to Capparelli's identities. Advances in Mathematics, 278. pp. 121-136. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Folsom, Amanda and Rhoades, Robert (2015). Unimodal sequences and “strange” functions: a family of quantum modular forms. Pacific Journal of Mathematics, 274 (1). pp. 1-25. MSP. ISSN 0030-8730

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Raum, Martin and Richter, Olav K. (2015). Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition. Transactions of the American Mathematical Society, 367 (9). pp. 6647-6670. American Mathematical Society. ISSN 0002-9947

2014

Huynh, Hien Minh (2014). Partner Orbits and Action Differences on Compact Factors of the Hyperbolic Plane. Thesis Abstract, Universität zu Köln.

Steffes-lai, Daniela (2014). Approximation Methods for High Dimensional Simulation Results - Parameter Sensitivity Analysis and Propagation of variations for Process Chains. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kane, B. and Kohnen, W. (2014). Locally Harmonic Maass Forms and the Kernel of the Shintani Lift. International Mathematics Research Notices, 2015 (11). pp. 3185-3224. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Creutzig, Thomas and Rolen, Larry (2014). Negative index Jacobi forms and quantum modular forms. Research in the Mathematical Sciences, 1 (1). Springer. ISSN 2197-9847

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Li, Yingkun and Rhoades, Robert C. (2014). Asymptotics for the number of row-Fishburn matrices. European Journal of Combinatorics, 41. pp. 183-196. Elsevier. ISSN 01956698

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Mahlburg, Karl (2014). Asymptotic formulas for stacks and unimodal sequences. Journal of Combinatorial Theory, Series A, 126. pp. 194-215. Elsevier. ISSN 00973165

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Guerzhoy, Pavel and Kane, Ben (2014). Shintani lifts and fractional derivatives for harmonic weak Maass forms. Advances in Mathematics, 255. pp. 641-671. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Calinescu, Corina, Folsom, Amanda and Kimport, Susie (2014). Graded dimensions of principal subspaces and modular Andrews–Gordon-type series. Communications in Contemporary Mathematics, 16 (04). p. 1350050. World Scientific. ISSN 0219-1997

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kane, Ben and Zwegers, Sander (2014). On a completed generating function of locally harmonic Maass forms. Compositio Mathematica, 150 (5). pp. 749-762. Cambridge University Press. ISSN 0010-437X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Fricke, Karl-Heinz and Kent, Zachary A. (2014). Special L-values and periods of weakly holomorphic modular forms. Proceedings of the American Mathematical Society, 142 (10). pp. 3425-3439. American Mathematical Society. ISSN 0002-9939

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Folsom, Amanda (2014). Almost harmonic Maass forms and Kac–Wakimoto characters. Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 (694). pp. 179-202. De Gruyter. ISSN 0075-4102

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mahlburg, Karl and Rhoades, Robert C. (2014). Taylor coefficients of mock-Jacobi forms and moments of partition statistics. Mathematical Proceedings of the Cambridge Philosophical Society, 157 (2). pp. 231-251. Cambridge University Press. ISSN 0305-0041

2013

Krügel, Florian (2013). A variational problem leading to a singular elliptic equation involving the 1-Laplacian. Thesis Abstract, Universität zu Köln.

Kleefisch, Thomas (2013). Pfadüberdeckungsprobleme. Thesis Abstract, Universität zu Köln.

Waldherr, Matthias (2013). Arithmetic and Asymptotic Properties of Mock Theta Functions and Mock Jacobi Forms. Thesis Abstract, Universität zu Köln.

Lücking, Markus (2013). Ein nichtpulsatiles Herz-Kreislauf-Barorezeptor-Modell: Herleitung, Vergleich und Simulationen. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Mahlburg, Karl (2013). Asymptotic inequalities for positive crank and rank moments. Transactions of the American Mathematical Society, 366 (2). pp. 1073-1094. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Manschot, Jan (2013). Asymptotic formulas for coefficients of inverse theta functions. Communications in Number Theory and Physics, 7 (3). pp. 497-513. International Press. ISSN 19314523

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Murthy, Sameer (2013). On the positivity of black hole degeneracies in string theory. Communications in Number Theory and Physics, 7 (1). pp. 15-56. International Press. ISSN 19314523

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kane, Ben and Viazovska, Maryna (2013). Theta lifts and local Maass forms. Mathematical Research Letters, 20 (2). pp. 213-234. International Press. ISSN 10732780

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Holroyd, A. E., Mahlburg, K. and Vlasenko, M. (2013). K-RUN OVERPARTITIONS AND MOCK THETA FUNCTIONS. The Quarterly Journal of Mathematics, 64 (4). pp. 1009-1021. Oxford University Press. ISSN 0033-5606

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Folsom, Amanda (2013). On a conjecture of B. Berndt and B. Kim. The Ramanujan Journal, 32 (1). pp. 1-4. Springer. ISSN 1382-4090

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Diamantis, Nikolaos and Raum, Martin (2013). Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions. Advances in Mathematics, 233 (1). pp. 115-134. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and MAHLBURG, KARL (2013). Asymptotic formulas for coefficients of Kac–Wakimoto Characters. Mathematical Proceedings of the Cambridge Philosophical Society, 155 (1). pp. 51-72. Cambridge University Press. ISSN 0305-0041

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Guerzhoy, Pavel, Kent, Zachary and Ono, Ken (2013). Eichler–Shimura theory for mock modular forms. Mathematische Annalen, 355 (3). pp. 1085-1121. Springer. ISSN 0025-5831

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Manschot, Jan (2013). From sheaves on P2 to a generalization of the Rademacher expansion. American Journal of Mathematics, 135 (4). pp. 1039-1065. JHU Press. ISSN 1080-6377

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben ORCID: 0000-0003-4074-7662 (2013). Secord-order cusp forms and mixed mock modular forms. The Ramanujan Journal, 31 (1-2). pp. 147-161. Springer. ISSN 1382-4090

2012

Heyne, Maximilian (2012). A Model for Stable Price Allocation of Resources via Weighted Cooperative Games. Thesis Abstract, Universität zu Köln.

Hülsmann, Marco (2012). Effiziente und neuartige Verfahren zur Optimierung von Kraftfeldparametern bei atomistischen Molekularen Simulationen kondensierter Materie. Thesis Abstract, Universität zu Köln.

Rettenmeier, Matthias (2012). Data Compression for Computational Fluid Dynamics on Irregular Grids. Thesis Abstract, Universität zu Köln.

Thum, Peter (2012). Algebraic Multigrid for the Multi-Ion Transport and Reaction Model - A Physics-Aware Approach. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mahlburg, Karl and Mellit, Anton (2012). Convolution Bootstrap Percolation Models, Markov-type Stochastic Processes, and Mock Theta Functions. International Mathematics Research Notices, 2013 (5). pp. 971-1013. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Folsom, Amanda (2012). On the asymptotic behavior of Kac-Wakimoto characters. Proceedings of the American Mathematical Society, 141 (5). pp. 1567-1576. American Mathematical Society. ISSN 0002-9939

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Raum, Martin and Richter, Olav K. (2012). Kohnen’s limit process for real-analytic Siegel modular forms. Advances in Mathematics, 231 (2). pp. 1100-1118. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben (2012). Inequalities for full rank differences of 2-marked Durfee symbols. Journal of Combinatorial Theory, Series A, 119 (2). pp. 483-501. Elsevier. ISSN 00973165

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Guerzhoy, Pavel and KANE, BEN ORCID: 0000-0003-4074-7662 (2012). Mock modular forms as p-adic modular forms. Transactions of the American Mathematical Society, 364 (5). pp. 2393-2410. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Mahlburg, Karl (2012). Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation. Transactions of the American Mathematical Society, 364 (7). pp. 3829-3859. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Conley, Charles and Richter, Olav (2012). Jacobi forms over complex quadratic fields via the cubic Casimir operators. Commentarii Mathematici Helvetici, 87 (4). pp. 825-859. EMS Publishing House. ISSN 0010-2571

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kane, Ben ORCID: 0000-0003-4074-7662 and Rhoades, Robert C. (2012). Duality and Differential Operators for Harmonic Maass Forms. Developments in Mathematics, 28. pp. 85-106. Springer. ISSN 1389-2177

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Folsom, Amanda and Rhoades, Robert C. (2012). Partial theta functions and mock modular forms as q-hypergeometric series. The Ramanujan Journal, 29 (1-3). pp. 295-310. Springer. ISSN 1382-4090

2011

Dietlein, Felix (2011). Spektraltheoretische Strukturen von Coxeter Transformationen induziert durch Präprojektive Algebren und Algebraische Kombinatorik. Thesis Abstract, Universität zu Köln.

Ahlgren, Scott, Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Lovejoy, Jeremy (2011). ℓ-adic properties of smallest parts functions. Advances in Mathematics, 228 (1). pp. 629-645. Elsevier. ISSN 00018708

ALFES, CLAUDIA, Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and LOVEJOY, JEREMY (2011). Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols. Mathematical Proceedings of the Cambridge Philosophical Society, 151 (3). pp. 385-406. Cambridge University Press. ISSN 0305-0041

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and RICHTER, OLAV K. (2011). EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS. International Journal of Number Theory, 07 (03). pp. 825-833. World Scientific. ISSN 1793-0421

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Mahlburg, Karl and Rhoades, Robert C. (2011). Asymptotics for rank and crank moments. Bulletin of the London Mathematical Society, 43 (4). pp. 661-672. Wiley. ISSN 00246093

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben (2011). Multiplicative q-hypergeometric series arising from real quadratic fields. Transactions of the American Mathematical Society, 363 (04). pp. 2191-2209. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Mahlburg, Karl (2011). An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences. American Journal of Mathematics, 133 (4). pp. 1151-1178. JHU Press. ISSN 1080-6377

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Hikami, Kazuhiro and Lovejoy, Jeremy (2011). On the modularity of the unified WRT invariants of certain Seifert manifolds. Advances in Applied Mathematics, 46 (1-4). pp. 86-93. Elsevier. ISSN 01968858

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Ono, Ken ORCID: 0000-0003-3670-319X (2011). COEFFICIENTS OF HARMONIC MAASS FORMS. In: Partitions, q-Series, and Modular Forms, pp. 23-38. Springer. ISBN 978-1-4614-0028-8

2010

Küpper, Stefanie (2010). Two-sided projective resolutions, periodicity and local algebras. Thesis Abstract, Universität zu Köln.

Stock, Sebastian (2010). Evolution of Geometries with Torsion. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Richter, Olav K. (2010). Zagier-type dualities and lifting maps for harmonic Maass–Jacobi forms. Advances in Mathematics, 225 (4). pp. 2298-2315. Elsevier. ISSN 00018708

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben (2010). Inequalities for differences of Dyson’s rank for all odd moduli. Mathematical Research Letters, 17 (5). pp. 927-942. International Press. ISSN 10732780

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Zwegers, Sander (2010). Rank-Crank type PDE’s and non-holomorphic Jacobi forms. Mathematical Research Letters, 17 (4). pp. 589-600. International Press. ISSN 10732780

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Ono, Ken (2010). Dyson’s ranks and Maass forms. Annals of Mathematics, 171 (1). pp. 419-449. Princeton University Word Press. ISSN 0003-486X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Lovejoy, J. (2010). Dyson's Rank, Overpartitions, and Weak Maass Forms. International Mathematics Research Notices. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Heim, B. (2010). Ramanujan Type Congruences and Jacobi Forms. International Mathematics Research Notices. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Yang, T. (2010). On Jacobi Poincare Series of Small weight. International Mathematics Research Notices. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Kane, Ben ORCID: 0000-0003-4074-7662 (2010). New identities involving sums of the tails related to real quadratic fields. The Ramanujan Journal, 23 (1-3). pp. 243-251. Springer. ISSN 1382-4090

2009

Schadewaldt, Nicole (2009). Lipschitz solutions for a one-dimensional fast diffusion equation. Thesis Abstract, Universität zu Köln.

Does, Kerstin (2009). An Evolution Equation Involving the Normalized p-Laplacian. Thesis Abstract, Universität zu Köln.

Pilca, Mihaela Veronica (2009). Generalized Gradients of G-Structures and Kählerian Twistor Spinors. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Lovejoy, Jeremy and Osburn, Robert (2009). Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols. International Mathematics Research Notices, 2010 (2). pp. 238-260. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Ono, Ken (2009). Some characters of Kac and Wakimoto and nonholomorphic modular functions. Mathematische Annalen, 345 (3). pp. 547-558. Springer. ISSN 0025-5831

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Mahlburg, Karl (2009). Inequalities between ranks and cranks. Proceedings of the American Mathematical Society, 137 (08). pp. 2567-2574. American Mathematical Society. ISSN 0002-9939

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Folsom, Amanda and Ono, Ken (2009). q-series and weight 3/2 Maass forms. Compositio Mathematica, 145 (03). pp. 541-552. Cambridge University Press. ISSN 0010-437X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Lovejoy, Jeremy and Osburn, Robert (2009). Rank and crank moments for overpartitions. Journal of Number Theory, 129 (7). pp. 1758-1772. Elsevier. ISSN 0022314X

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Lovejoy, J. (2009). Overpartitions and class numbers of binary quadratic forms. Proceedings of the National Academy of Sciences, 106 (14). pp. 5513-5516. National Academy of Sciences. ISSN 0027-8424

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2009). CONGRUENCES FOR DYSON'S RANKS. International Journal of Number Theory, 05 (04). pp. 573-584. World Scientific. ISSN 1793-0421

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2009). Asymptotics for rank partition functions. Transactions of the American Mathematical Society, 361 (07). pp. 3483-3500. American Mathematical Society. ISSN 0002-9947

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Hayashida, Shuichi (2009). A Converse Theorem for Hilbert-Jacobi Forms. Rocky Mountain Journal of Mathematics, 39 (2). pp. 423-435. Duke University Press. ISSN 0035-7596

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2009). MOCK THETA FUNCTIONS, WEAK MAASS FORMS, AND APPLICATIONS. In: Modular Forms on Schiermonnikoog, pp. 29-56. Cambridge University Press. ISBN 9780511543371

2008

Wieck, Ingo A. (2008). Explicit symplectic packings: Symplectic tunnelling and new maximal constructions. Thesis Abstract, Universität zu Köln.

Motameny, Susanne (2008). Formal Concept Analysis for the Analysis of Gene Expression Data. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Garvan, Frank and Mahlburg, Karl (2008). Partition Statistics and Quasiharmonic Maass Forms. International Mathematics Research Notices, 2009 (1). pp. 63-97. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Penniston, David (2008). Arithmetic properties of non-harmonic weak Maass forms. Proceedings of the American Mathematical Society, 137 (03). pp. 825-833. American Mathematical Society. ISSN 0002-9939

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2008). On the explicit construction of higher deformations of partition statistics. Duke Mathematical Journal, 144 (2). pp. 195-233. Duke University Press. ISSN 0012-7094

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and LOVEJOY, JEREMY (2008). RANK AND CONGRUENCES FOR OVERPARTITION PAIRS. International Journal of Number Theory, 04 (02). pp. 303-322. World Scientific. ISSN 1793-0421

2007

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Ono, Ken and Rhoades, Robert C. (2007). Eulerian series as modular forms. Journal of the American Mathematical Society, 21 (4). pp. 1085-1104. American Mathematical Society. ISSN 0894-0347

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Ono, K. (2007). Lifting cusp forms to Maass forms with an application to partitions. Proceedings of the National Academy of Sciences, 104 (10). pp. 3725-3731. National Academy of Sciences. ISSN 0027-8424

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Swisher, Holly (2007). On a conjecture of Koike on identities between Thompson series and Rogers-Ramanujan functions. Proceedings of the American Mathematical Society, 135 (08). pp. 2317-2327. American Mathematical Society. ISSN 0002-9939

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Conley, Charles H. and Richter, Olav K. (2007). Maass-Jacobi forms over complex quadratic fields. Mathematical Research Letters, 14 (1). pp. 137-156. International Press. ISSN 10732780

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Ono, Ken (2007). An arithmetic formula for the partition function. Proceedings of the American Mathematical Society, 135 (11). pp. 3507-3515. American Mathematical Society. ISSN 00029939

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Ono, Ken (2007). Arithmetic properties of coefficients of half-integral weight Maass–Poincaré series. Mathematische Annalen, 337 (3). pp. 591-612. Springer. ISSN 0025-5831

2006

Goertsches, Oliver (2006). Riemannian Supergeometry. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Ono, Ken (2006). The f(q) mock theta function conjecture and partition ranks. Inventiones mathematicae, 165 (2). pp. 243-266. Springer. ISSN 0020-9910

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, KANE, BENJAMIN and KOHNEN, WINFRIED (2006). ON THE BOUNDARY BEHAVIOR OF AUTOMORPHIC FORMS. International Journal of Number Theory, 02 (02). pp. 187-194. World Scientific. ISSN 1793-0421

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2006). Lifting maps from a vector space of Jacobi cusp forms to a subspace of elliptic modular forms. Mathematische Zeitschrift, 253 (4). pp. 735-752. Springer. ISSN 0025-5874

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2006). ESTIMATES OF FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS FOR SUBGROUPS AND IN THE CASE OF SMALL WEIGHT. Journal of the London Mathematical Society, 73 (01). pp. 31-47. Wiley. ISSN 0024-6107

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 (2006). Asymptotic formulas for some retricted partition functions. The Ramanujan Journal, 12 (2). pp. 257-266. Springer. ISSN 1382-4090

2005

Clees, Tanja (2005). AMG Strategies for PDE Systems with Applications in Industrial Semiconductor Simulation. Thesis Abstract, Universität zu Köln.

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Ono, Ken and Rouse, Jeremy (2005). Traces of singular moduli on Hilbert modular surfaces. International Mathematics Research Notices, 2005 (47). pp. 2891-2912. Oxford University Press. ISSN 1073-7928

Bringmann, Kathrin ORCID: 0000-0001-7126-1409 and Ono, Ken (2005). Identities for traces of singular moduli. Acta Arithmetica, 119 (4). pp. 317-327. Impan. ISSN 0065-1036

2002

Eggeling, Eva (2002). Meteorological Data Assimilation - Local Analysis and Efficient Numerical Techniques for Constrained Differential Optimization. Thesis Abstract, Universität zu Köln.