Experience

 
 
 
 
 
May 2021 – Present
Vienna

Associate Professor

Faculty of Mathematics, University of Vienna

 
 
 
 
 
September 2017 – April 2021
Vienna

Assistant Professor (tenure track)

Faculty of Mathematics, University of Vienna

 
 
 
 
 
September 2016 – August 2017
Klosterneuburg

Postdoc

Institute of Science and Technology Austria (ISTA)

 
 
 
 
 
September 2015 – August 2016
Trieste

Postdoc

Scuola Internazionale Superiore di Studi Avanzati (SISSA)

 
 
 
 
 
February 2013 – August 2015
Trieste

Postdoc

International Center for Theoretical Physics (ICTP)

 
 
 
 
 
October 2012 – December 2012
Moscow

Guest Lecturer

Higher School of Economics

 
 
 
 
 
October 2010 – September 2012
Cologne

Postdoc

University of Cologne

 
 
 
 
 
September 2009 – September 2010
Bonn

Postdoc

Hausdorff Center for Mathematics

 
 
 
 
 
September 2008 – August 2009
Bonn

Postdoc

Max Planck Institute for Mathematics

Selected Publications

. Poincare polynomials of character varieties, Macdonald polynomials and affine Springer fibers. arXiv preprint arXiv:1710.04513, accepted in Ann. of Math., 2020.

Preprint

. Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures). Invent. Math. DOI: 10.1007/s00222-020-00950-1, 2020.

Preprint DOI

. The $A_{q,t}$ algebra and parabolic flag Hilbert schemes. Math. Ann. DOI: 10.1007/s00208-019-01898-1, 2019.

Preprint DOI

. Integrality of Hausel–Letellier–Villegas kernels. Duke Math. J. 167 (2018), no. 17, 3171–3205, 2018.

Preprint DOI

. A proof of the shuffle conjecture. J. Amer. Math. Soc. 31 (2018), no. 3, 661–697, 2017.

Preprint DOI

. Finite hypergeometric functions. Pure Appl. Math. Q. 11 (2015), no. 4, 559–589, 2015.

Preprint DOI

. Derived categories of Keum's fake projective planes. Adv. Math. 278 (2015), 238–253, 2015.

Preprint DOI

. Dubrovin's conjecture for IG(2,6). Int. Math. Res. Not. IMRN 2015, no. 18, 8847–8859, 2014.

Preprint DOI

Recent Publications

More Publications

. Poincare polynomials of character varieties, Macdonald polynomials and affine Springer fibers. arXiv preprint arXiv:1710.04513, accepted in Ann. of Math., 2020.

Preprint

. Poincaré polynomials of moduli spaces of Higgs bundles and character varieties (no punctures). Invent. Math. DOI: 10.1007/s00222-020-00950-1, 2020.

Preprint DOI

. $\mathbb{Z}R$ and rings of Witt vectors $W_S(R)$. Rend. Semin. Mat. Univ. Padova 142 (2019), 93–102, 2019.

Preprint DOI

. Cell decompositions of character varieties. arXiv preprint arXiv:1905.10685, 2019.

Preprint

. Elliptic dilogarithms and parallel lines. J. Number Theory 204 (2019), 1–24, 2019.

Preprint DOI

. On quantum cohomology of Grassmannians of isotropic lines, unfoldings of $A_n$-singularities, and Lefschetz exceptional collections. Ann. Inst. Fourier (Grenoble) 69 (2019), no. 3, 955–991, 2019.

Preprint DOI

. Rationality proofs by curve counting. Experimental Mathematics DOI: 10.1080/10586458.2019.1691088, 2019.

Preprint DOI

. Serre duality for Khovanov-Rozansky homology. Selecta Math. (N.S.) 25 (2019), no. 5, Art. 79, 33 pp., 2019.

Preprint DOI

. The $A_{q,t}$ algebra and parabolic flag Hilbert schemes. Math. Ann. DOI: 10.1007/s00208-019-01898-1, 2019.

Preprint DOI

. The Tutte polynomial and toric Nakajima quiver varieties. arXiv preprint arXiv:1910.01633, 2019.

Preprint

Recent & Upcoming Talks

Five-term relations
Mar 11, 2019 4:00 PM
University of Geneva

Recent Posts

1 min read

Projects

Refined invariants in combinatorics, low-dimensional topology and geometry of moduli spaces

ERC Consolidator Grant

Macdonald polynomials and related structures in geometry

FWF Standalone Project

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