Valentin Buciumas

School of Mathematics and Physics

The University of Queensland

St. Lucia, QLD 4072,

Australia

email: valentin.buciumas at gmail dot com

Short Bio: I am a postdoc at the University of Queensland in Brisbane. My mentors are Masoud Kamgarpour, Peter McNamara and Tony Licata. Before this I was a postdoc at the Einstein Institute of Mathematics in Jerusalem where my mentor was David Kazhdan. During 2016-2017 I was a postdoc at the Max Planck Institute in Bonn. I graduated in 2016 from Stanford University where I was a student of Daniel Bump.

Research: My research is in representation theory. Some keywords: representation theory of p-adic groups, Whittaker functions, metaplectic groups, quantum groups, coideal subalgebras, Lie (super)algebras, lattice models and the Yang-Baxter equation/reflection equation, quantum invariants, polynomial functors, categorification.

A poster on the joint work with Brubaker, Bump and Friedberg: Poster

Papers and preprints:

(with Ben Brubaker, Daniel Bump and Henrik Gustafsson) ''Colored Vertex Models and Iwahori Whittaker Functions'', arxiv: 1906.04140

(with Hankyung Ko) ''Polynomial functors and two-parameter quantum symmetric pairs'', arxiv: 1904.12851

(with Ben Brubaker, Daniel Bump and Henrik Gustafsson) ''Colored five-vertex models and Demazure atoms'', submitted, arxiv: 1902.01795

(with Ben Brubaker, Daniel Bump and Henrik Gustafsson) ''Vertex operators, solvable lattice models and metaplectic Whittaker functions'', submitted, arxiv: 1806.07776

(with Ben Brubaker, Daniel Bump and Nathan Gray) ''Duality for metaplectic ice'', to appear as an appendix to ``A Yang-Baxter equation for metaplectic ice'' in CNTP, arxiv: 1709.06500

(with Hankyung Ko) ''Quantum polynomial functors from e-Hecke algebras'', to appear in Math Z, arxiv: 1708.04315

(with Ben Brubaker, Daniel Bump and Solomon Friedberg) ''Hecke modules from metaplectic ice'', Selecta Math 24, 2523–2570 (2018) arxiv: 1704.00701

(with Ben Brubaker and Daniel Bump) ''A Yang-Baxter equation for metaplectic ice'', to appear in CNTP, arxiv: 1604.02206

''Quantum groups obtained from solutions to the parametrized Yang-Baxter equation '', submitted, arxiv: 1602.04262

Seminars:

Seminar on p-adic loop groups: I am currently organizing a seminar on p-adic loop groups. The syllabus is here.

QFT seminar: I have organized a seminar on lattice models and applications at UQ in the first semester of 2019. The syllabus, program and some lecture notes can be found here.

Students:

I have mentored Gavrilo Sipka during a vacation research summer project. The project dealt with fusion categories and quantum groups at a root of unity. You can find more info about the project and the report that Gavrilo wrote here.

Some conferences:

Flags, Galleries and Reflection Groups, Sydney, 5-9 August, 2019

Triangulated Categories in Geometry and Representation Theory, Sydney, 24-28 June, 2019

Taipei Conference in Representation Theory VI, Taipei, Taiwan, 7-11 January, 2019

Geometric and Categorical Representation Theory, MATRIX, Creswick, VIC, 9-21 December, 2018

Australian Mathematical Society Meeting, Adelaide, SA, 4-7 December, 2018

Rainfest, Brisbane, QLD, 12 October 2018

Automorphic forms on reductive groups and their covers: A conference in honour of Solomon Friedberg, Zurich, 25-28 June 2018

The 21st Midrasha in Mathematicae, Jerusalem, 7-12 January 2018

Future Directions in Representation Theory, Sydney, 4-8 December 2017

Recent travel:

I will be visiting the National University of Singapore between August 20 and September 4, 2019.

I visited the University of Sydney between June 12 and June 14, 2019.

I visited Bonn (MPIM and the University of Bonn) between January 13 and February 18, 2019.

I visited the University of Melbourne between November 5-9, 2018.

Old Teaching Handouts:

Math 51 - Spring 2015 handouts at Stanford (made together with Sara Kalisnik)

Math 41 - Fall 2015 handouts at Stanford