Kathrin Bringmann

Last updated

Kathrin Bringmann
Mahlburg Bringmann.jpg
Karl Mahlburg and Kathrin Bringmann at Oberwolfach (2009)
Born (1977-05-08) 8 May 1977 (age 46)
Nationality German
Alma mater University of Heidelberg
Awards SASTRA Ramanujan Prize (2009)
Scientific career
Fields Mathematics
Institutions University of Cologne
Doctoral advisor Winfried Kohnen  [ de ]

Kathrin Bringmann (born 8 May 1977) is a German number theorist in the University of Cologne, Germany, who has made fundamental contributions to the theory of mock theta functions.

Contents

Education and career

Kathrin Bringmann was born on 8 May 1977, in Muenster, Germany. She passed the State Examinations in Mathematics and Theology at the University of Würzburg, Germany, in 2002, and obtained a Diploma in Mathematics at Würzburg in 2003. She received PhD in 2004 from University of Heidelberg under the supervision of Winfried Kohnen  [ de ].

During 2004–07, she was Edward Burr Van Vleck Assistant Professor with the University of Wisconsin where she began her collaboration with Ken Ono. After briefly serving as an assistant professor at the University of Minnesota, she joined the University of Cologne, Germany, as Professor.

Recognition

Bringmann has been awarded the Alfried Krupp-Förderpreis for Young Professors, a one-million-Euro prize instituted by the Alfried Krupp von Bohlen und Halbach Foundation. She is the third mathematician to win this prize. [1] She has also been awarded the SASTRA Ramanujan Prize in 2009 for her contributions to "areas of mathematics influenced by the genius Srinivasa Ramanujan." [2] [3]

She was the Emmy Noether Lecturer of the German Mathematical Society in 2015. [4]

A book by Bringmann with Amanda Folsom, Ken Ono, and Larry Rolen, Harmonic Maass Forms and Mock Modular Forms: Theory and Applications (Amer. Math. Soc., 2018), [5] won the 2018 Prose Award for Best Scholarly Book in Mathematics from the Association of American Publishers. [6]

Related Research Articles

<span class="mw-page-title-main">University of Cologne</span> University in Germany

The University of Cologne is a university in Cologne, Germany. It was established in the year 1388, the sixth university to be established in Central Europe. It closed in 1798 before being re-established in 1919. It is now one of the largest universities in Germany with more than 50,000 students. The University of Cologne is a member of the German U15 association of major research-intensive universities and was a university of excellence as part of the German Universities Excellence Initiative from 2012 to 2019. It is constantly ranked among top 20 German universities in the world rankings.

<span class="mw-page-title-main">Srinivasa Ramanujan</span> Indian mathematician (1887–1920)

Srinivasa Ramanujan (22 December 1887 – 26 April 1920) was an Indian mathematician. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then considered unsolvable.

Bruce Carl Berndt is an American mathematician. Berndt attended college at Albion College, graduating in 1961, where he also ran track. He received his master's and doctoral degrees from the University of Wisconsin–Madison. He lectured for a year at the University of Glasgow and then, in 1967, was appointed an assistant professor at the University of Illinois at Urbana-Champaign, where he has remained since. In 1973–74 he was a visiting scholar at the Institute for Advanced Study in Princeton. He is currently Michio Suzuki Distinguished Research Professor of Mathematics at the University of Illinois.

In mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2. The first examples of mock theta functions were described by Srinivasa Ramanujan in his last 1920 letter to G. H. Hardy and in his lost notebook. Sander Zwegers discovered that adding certain non-holomorphic functions to them turns them into harmonic weak Maass forms.

<span class="mw-page-title-main">Akshay Venkatesh</span> Australian mathematician

Akshay Venkatesh is an Australian mathematician and a professor at the School of Mathematics at the Institute for Advanced Study. His research interests are in the fields of counting, equidistribution problems in automorphic forms and number theory, in particular representation theory, locally symmetric spaces, ergodic theory, and algebraic topology.

In mathematics, Ramanujan's congruences are some remarkable congruences for the partition function p(n). The mathematician Srinivasa Ramanujan discovered the congruences

<span class="mw-page-title-main">Kannan Soundararajan</span> American mathematician and professor

Kannan Soundararajan is an Indian-born American mathematician and a professor of mathematics at Stanford University. Before moving to Stanford in 2006, he was a faculty member at University of Michigan, where he had also pursued his undergraduate studies. His main research interest is in analytic number theory, particularly in the subfields of automorphic L-functions, and multiplicative number theory.

Ken Ono is an American mathematician who specializes in number theory, especially in integer partitions, modular forms, umbral moonshine, the Riemann Hypothesis and the fields of interest to Srinivasa Ramanujan. He is the STEM Advisor to the Provost and the Marvin Rosenblum Professor of Mathematics at the University of Virginia.

Sander Pieter Zwegers is a Dutch mathematician who made a connection between Maass forms and Srinivasa Ramanujan's mock theta functions in 2002. He was born in Oosterhout. After a period at the Max-Planck Institute in Bonn, he became an assistant professor at the University College Dublin in 2008. Since 2011, he has been professor of number theory at the University of Cologne.

<span class="mw-page-title-main">Roman Holowinsky</span> American mathematician

Roman Holowinsky is an American mathematician known for his work in number theory and, in particular, the theory of modular forms. He is currently an associate professor with tenure at the Ohio State University.

Jacob Tsimerman is a Canadian mathematician at the University of Toronto specialising in number theory and related areas. He was awarded the SASTRA Ramanujan Prize in the year 2015 in recognition for his work on the André–Oort conjecture and for his work in both analytic number theory and algebraic geometry.

In mathematics, a weak Maass form is a smooth function on the upper half plane, transforming like a modular form under the action of the modular group, being an eigenfunction of the corresponding hyperbolic Laplace operator, and having at most linear exponential growth at the cusps. If the eigenvalue of under the Laplacian is zero, then is called a harmonic weak Maass form, or briefly a harmonic Maass form.

<span class="mw-page-title-main">Maryna Viazovska</span> Ukrainian mathematician (born 1984)

Maryna Sergiivna Viazovska is a Ukrainian mathematician known for her work in sphere packing. She is a full professor and Chair of Number Theory at the Institute of Mathematics of the École Polytechnique Fédérale de Lausanne in Switzerland. She was awarded the Fields Medal in 2022.

Kaisa Sofia Matomäki is a Finnish mathematician specializing in number theory. Since September 2015, she has been working as an Academic Research Fellow in the Department of Mathematics and Statistics, University of Turku, Turku, Finland. Her research includes results on the distribution of multiplicative functions over short intervals of numbers; for instance, she showed that the values of the Möbius function are evenly divided between +1 and −1 over short intervals. These results, in turn, were among the tools used by Terence Tao to prove the Erdős discrepancy problem.

<span class="mw-page-title-main">Maksym Radziwill</span> Polish-Canadian mathematician

Maksym Radziwill is a Polish-Canadian mathematician specializing in number theory. He is currently a professor of mathematics at the California Institute of Technology.

Jack A. Thorne is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory.

Amanda L. Folsom is an American mathematician specializing in analytic number theory and its applications in combinatorics. She is a professor of mathematics at Amherst College, where she chairs the department of mathematics and statistics.

<span class="mw-page-title-main">Adam Harper</span> Mathematician

Adam Harper is a mathematician specialising in number theory, particularly in analytic, combinatorial and probabilistic number theory. He is currently a professor at the University of Warwick, England. Harper was awarded the SASTRA Ramanujan Prize in 2019 "for several outstanding contributions to analytic and probabilistic number theory."

Will Sawin is the Fernholz Professor of Mathematics at Princeton University specialising in number theory and algebraic geometry and other areas. Previously he worked at Columbia University, and was a Clay Research Fellow of the Clay Mathematical Institute. He earned his PhD degree from Princeton University in 2016 on "A Tannakian Category and a Horizontal Equidistribution Conjecture for Exponential Sums" under the supervision of Nick Katz. Will Sawin has found important applications of étale cohomology to the theory of exponential sums over finite fields and also of classical counting techniques in analytic number theory in the study of cohomology in spaces that are of interest in algebraic geometry. He also contributes to the mathematical community in several ways including his regular posts in the MathOverflow website. Will Sawin was awarded the SASTRA Ramanujan Prize in 2021 for his contributions to the area of mathematics influenced by Srinivasa Ramanujan. In 2023, Sawin was awarded a Sloan Fellowship.

Yunqing Tang is a mathematician specialising in number theory and arithmetic geometry and an Assistant Professor at University of California, Berkeley. She was awarded the SASTRA Ramanujan Prize in 2022 for "having established, by herself and in collaboration, a number of striking results on some central problems in arithmetic geometry and number theory".

References

  1. "Bringmann Receives One Million Euro Krupp Prize". American Mathematical Society. 2 July 2009. Retrieved 11 July 2023.
  2. German Professor bags SASTRA Ramanujan Award for 2009 Archived 4 October 2009 at the Wayback Machine
  3. "Bringmann to Receive 2009 SASTRA Ramanujan Prize". American Mathematical Society. 29 September 2009. Retrieved 7 July 2023.
  4. Preise und Auszeichnungen (in German), German Mathematical Society , retrieved 5 November 2018
  5. Bringmann, Kathrin; Folsom, Amanda; Ono, Ken; Rolen, Larry (2017). Harmonic Maass forms and mock modular forms : theory and applications. Providence, Rhode Island. ISBN   978-1-4704-1944-8. OCLC   989726785.{{cite book}}: CS1 maint: location missing publisher (link)
  6. Schwartz, Larry. "Association of American Publishers". Minnesota State University Moorhead. Retrieved 10 February 2023.