Research Interests

Combinatorial Representation Theory and Number Theory

I currently hold the ARC DECRA grant DE200101802 - Combinatorial and Representation Theoretic Methods in Number Theory.

Teaching

In Semester 2, 2020 I am teaching and serving as course coordinator for Math2302/7308, Discrete Mathematics II. All course materials can be found through Blackboard.

Papers and Preprints

With Dinakar Muthiah and Ian Whitehead Correction factors for Kac-Moody groups and t-deformed root multiplicities (Mathematische Zeitschrift 296, pages 127–145 (2020), arXiv link)

With Anamaria Costache, Brooke Feigon, Kristin Lauter and Maike Massierer Ramanujan graphs in cryptography (Research Directions in Number Theory. Springer, Cham, 2019. 1-40., arXiv link)

With Manish Patnaik: Metaplectic Covers of Kac-Moody Groups and Whittaker Functions (Duke Mathematical Journal 168.4 (2019): 553-653., arXiv link)

Crystal Constructions in Number Theory (expository chapter Recent Trends in Algebraic Combinatorics. Springer, Cham, 2019. 333-362., arXiv link)

With Amy Feaver: Imaginary Multiquadratic Fields of Class Number Dividing 2^m (2017, arXiv link)

Whittaker functions on metaplectic covers of GL(r) (2016, arXiv link)

With Dinakar Muthiah: appendix to Whittaker functions and Demazure characters by Kyu-Hwan Lee, Cristian Lenart and Dongwen Liu (Journal of the Institute of Mathematics of Jussieu (2017): 1-23., arXiv link)

With Manish Patnaik: On Iwahori-Whittaker Functions for Metaplectic Groups (Advances in Mathematics 313 (2017): 875-914., arXiv link, formerly titled On the Casselman-Shalika formula for metaplectic groups)

With Gautam Chinta and Paul E. Gunnells: Metaplectic Demazure operators and Whittaker functions (Indiana Univ. Math. J. 66 No. 3 (2017), 1045–1064., arXiv link)

With Mátyás Domokos: Multisymmetric Polynomials in Dimension Three (Journal of Algebra, Vol. 356, Issue 1, pages 283-303, 2012, arXiv link)

Previous Institutions

From September 2018 to January 2020 I was a Project Researcher at the Kavli Institute for the Physics and Mathematics of the Universe, in Kashiwanoha, Japan. I continue to be an affiliate member.

From September 2017 to August 2018 I was a Visiting Assistant Professor at the University of Massachusetts Amherst, working with Paul E. Gunnells.

From September 2014 to August 2017 I was a Postdoctoral Fellow at the Department of Mathematics & Statistics, University of Massachusetts, Amherst, working with Manish Patnaik.

My doctoral work at Columbia University was supervised by Gautam Chinta (CUNY) and Dorian Goldfeld (Columbia University); I graduated in May 2014.

Organizational Work - Conferences, Seminars

What is...? Seminar, with Valentin Buciumas and Masoud Kamgarpour at the University of Queensland, since Semester 1, 2020.

Alberta Number Theory Days VIII (BIRS 16w2687), with Habiba Kadiri at the Banff International Research Centre, April 15-17, 2016, Banff, Alberta

Special Session on Automorphic Forms, Combinatorics and Representation Theory, with with Daniel Bump, Solomon Friedberg and Paul E. Gunnells at the AMS Spring Western Sectional Meeting, April 9-10, 2016, Salt Lake City, Utah

GIST: General Interest Seminar on Thursdays, with Shashank Kanade (in the fall term of 2015)

Gaussent-Littelmann learning seminar, with Manish Patnaik (in the fall term of 2016)

Littelmann paths learning seminar, with Manish Patnaik (in the winter term of 2015).

Conferences, Workshops, Research Programs

New Connections in Representation Theory, February 10-14, 2020, Mooloolaba, Queensland, Australia

New interactions between Geometry and Combinatorics, October 27-29, 2019, Osaka, Japan

Quiver Varieties and Representation Theory, August 1-31, 2019, Montreal, Quebec

Workshop on Kac-Moody Geometry, May 19-24, 2019, Besse-et-Saint-Anastaise, France

Crystals and Their Generalizations, March 25–29, 2019, Osaka, Japan

SageDays@ICERM: Combinatorics and Representation Theory, July 23, 2018, Providence, Rhode Island

Women in Numbers 4 (BIRS 17w5083), August 13-18, 2017, Banff, Alberta

Re:boot Number Theory 2017, June 1-3, 2017, Duke University, Durham, North Carolina

Alberta Number Theory Days IX (BIRS 17w2672), March 17-19, 2017, Banff, Alberta

AMS Fall Central Sectional Meeting, Special Session on Representation Theory, Automorphic Forms and Related Topics, October 28-30, 2016, Minneapolis, Minnesota

Whittaker Functions: Number Theory, Geometry and Physics (BIRS 16w5039), July 24 - 29, 2016, Banff, Alberta

Workshop on Hecke Algebras and Lie Theory, May 12-15, 2016, Ottawa, Ontario

Alberta Number Theory Days VIII (BIRS 16w2687), April 15-17, 2016, Banff, Alberta

AMS Spring Western Sectional Meeting, Special Session on Automorphic Forms, Combinatorics and Representation Theory, April 9-10, 2016, Salt Lake City, Utah

Alberta Number Theory Days VII at the Banff International Research Station, June 12-14, 2015, Banff, Alberta

Workshop on Representation Theory and Analysis on Lie Groups over Local Fields May 7-10, 2015, University of Ottawa, Ottawa, Ontario

Joint Mathematical Meetings, Special Session on Algebraic Combinatorics and Representation Theory, January 10-13, 2015, Henry B. Gonzales Convention Center, San Antonio, Texas

Connecting Women in Mathematics Across Canada at the Banff International Research Station, October 3-5, 2014, Banff, Alberta

Whittaker Functions: Number Theory, Geometry and Physics at the Banff International Research Station, October 13-18, 2013, Banff, Alberta

AMS Fall Eastern Sectional Meeting, Special Session on Representation Theory, Combinatorics and Categorification, October 12-13, 2013 Temple University, Philadelphia, Pennsylvania

Texas-Oklahoma Representations and Automorphic forms V, September 20 - 22, 2013, Oklahoma State University, Stillwater, Oklahoma

Erdős Centennial, July 1-5, 2013, Hungarian Academy of Sciences, Budapest, Hungary

New York Women in Mathematics and Computing Workshop, May 10, 2013, CUNY Graduate Center, New York, New York

Automorphic Forms, Combinatorial Representation Theory and Multiple Dirichlet Series, ICERM Semester Program, January 28 - May 3, 2013, Providence, Rhode Island

Homogeneous Spaces and Geometric Representation Theory, February 27 - March 2 2012, Winter School at Ruhr University Bochum, Germany

Paul Turán Memorial Conference, August 22 - 26 2011, Alfréd Rényi Institute of Mathematics, Budapest, Hungary

Conference in honor of the 70th birthday of Endre Szemerédi, August 2 - 7 2010, Alfréd Rényi Institute of Mathematics, Budapest, Hungary

Research in Industrial Projects for Students (RIPS), June 24 - August 24 2007, Institute of Pure and Applied Mathematics, Los Angeles, California

Institutions

People

My Husband: Dinakar Muthiah

My Father: Puskás Csaba

My high school Mathematics teachers: Fazakas Tünde, Hraskó András, Surányi László

My Masters Thesis Advisors: Domokos Mátyás and Károlyi Gyula.

My PhD Advisors: Gautam Chinta and Dorian Goldfeld.

My Postdoctoral Supervisors: Paul E. Gunnells, Manish Patnaik.

Math Links

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