Photo of Nir Gadish

Nir Gadish

Research

Papers

Configuration spaces on a wedge of spheres and Hochschild-Pirashvili homology (with L. Hainaut)
(preprint) ArXiv:2202.12494 [submitted].
Homology representations of compactified configurations on graphs applied to M2,n (with C. Bibby, M. Chan and C. Yun)
(preprint) ArXiv:2109.03302 [submitted].
Product Expansions of q-Character Polynomials (with A. Balachandran, A. Huang and S. Sun)
(preprint) ArXiv:2106.11587 [submitted].
Correction to the article A spectral sequence for stratified spaces... (with D. Petersen)
Geometry & Topology 25, no. 5 (2021): 2699-2706.
Deletion and contraction in configuration spaces of graphs. (with S. Agarwal, M. Banks and D. Miyata)
Algebraic & Geometric Topology (2021), DOI:10.2140/agt.2021.21.3663
A generating function approach to new representation stability phenomena in orbit configuration spaces. (with C. Bibby)
(preprint) ArXiv:1911.02125 [submitted].
Combinatorics of orbit configuration spaces. (with C. Bibby)
International Mathematics Research Notices, DOI:rnaa296 (2020).
Adding points to configurations in closed balls. (with L. Chen, J. Lanier)
Proceedings of the AMS (2019).
Dimension-independent statistics of GL(n)$ via character polynomials.
Proceedings of the AMS (2019).
An explicit symmetric DGLA model of a bi-gon. (with I Griniasty and R. Lawrence)
Journal of Knot Theory and Its Ramifications Vol 28, No. 11 (2019).
A trace formula for the distribution of rational G-orbits in ramified covers, adapted to representation stability.
New York Journal of Mathematics, Vol. 23 (2017): 987-1011.
Categories of FI type: a unified approach to generalizing representation stability and character polynomials.
Journal of Algebra, Vol. 480 (2017): 450-486.
Representation Stability for Families of Linear Subspace Arrangements.
Advances in Mathematics, Vol. 322 (2017): 341-377.

Not for publication

My Ph.D. thesis, titled: A general framework for representation stability, with applications to arrangements and arithmetic. Thesis Advisor: Prof. Benson Farb.

My topic proposal, on representation stability and applications to arithmetic statistics, under the supervision of Prof. Benson Farb.

My research project for a complex analysis graduate class at the University of Chicago: discussing the Ferrari cubic resolvent as a map between configuration spaces.

My undergraduate thesis, on a free DGLA model for the 2-cell. Thesis Advisor: Prof. Ruth Lawrence.

Talks

Seminar and conference talks

Polynomiality and stability in configurations on graphs
(Jun 2022) Arrangements in Ticino, at SUSPI - Locarno, Switzerland
From configurations on graphs to cohomology M2,n
(Jun 2022) Alg. and Geom. seminar, at U. di Bologna - Bologna, Italy
Computing top weight cohomology of M2,n using configurations on graphs
(Jun 2022) Alg/Top seminar, at København U. - Copenhagen, Denmark
Möbius inversion in hömotopy theory
(May 2022) Alg. Top. seminar, at Sorbonne Paris Nord (13) - Paris, France
From configurations on graphs to cohomology M2,n
(May 2022) Topology seminar, at Stockholm U. - Stockholm, Sweden
Polynomiality and stability in configurations on graphs
(Mar 2022) Stability in topology, arithmetic and rep. theory, at Purdue U. - W. Lafayette, IN
From configurations on graphs to cohomology M2,n
(Mar 2022) 55th Spring topology, at Baylor U. - Waco, TX
Higher Hochschild homology and configurations on graphs
(Mar 2022) RATCOW seminar, at U. of Oregon - Eugene, OR
Inclusion-exclusion in homotopy theory
(Feb 2022) RATCOW seminar, at U. of Oregon - Eugene, OR
From configurations on graphs to cohomology M2,n
(Feb 2022) Braids in alg. combinatorics, at ICERM - Providence, RI
From configurations on graphs to cohomology M2,n
(Feb 2022) Combinatorics seminar, at U. of Michigan - Ann Arbor, MI
Configurations spaces of graphs applied to cohomology M2,n
(OCT 2021) Compactifications, Configurations and Cohomology, at Northeastern U. - Boston, MA
Möbius inversion in hömotopy theory
(May 2021) Arrangements at Home, at U. of Western Ontario [virtual]
Möbius inversion in hömotopy theory
(Apr 2021) Topology seminar, at U. of Haifa [virtual]
Möbius inversion in hömotopy theory
(Apr 2021) AlgeCom XXI, at U. of Notre Dame [virtual]
Möbius inversion in hömotopy theory
(Apr 2021) Topology seminar, at MIT [virtual]
Combinatorics and stability of orbit configuration spaces
(Oct 2020) Topology seminar, at U. of Rochester [virtual]
The "generating function" of configuration spaces and applications to representation stability
(Apr 2020) Topology seminar, at Purdue U. [virtual]
The "generating function" of configuration spaces and applications to representation stability
(Mar 2020) Combinatorics seminar, at Brown U. [virtual]
Finitely generated diagrams of linear subspace arrangements
(Jan 2020) Workshop on Polyhedral Products in Homotopy Theory, at The Fields Institute - Toronto, ON
Finitely generated diagrams of linear subspace arrangements
(Nov 2019) Topology seminar, at MIT - Cambridge, MA
The "generating function" of configuration spaces and applications to representation stability
(Sep 2019) Topology seminar, at GA Tech. - Atlanta, GA
The "generating function" of configuration spaces and applications to representation stability
(Sep 2019) Topology seminar, at Northeastern U. - Boston, MA
From the topology of the space of polynomials to insolvability
(Jul 2019) GA-Tech summer REU, at Georgia Tech. - Atlanta, GA
The "generating function" of configuration spaces and applications to representation stability
(Jun 2019) Arrangements at Western, at Western U. - London, ON
The "generating function" of configuration spaces and applications to representation stability
(Apr 2019) Midwest Rep. Stability Workshop, at the Cenacle House - Chicago, IL
The "generating function" of configuration spaces and applications to representation stability
(Apr 2019) Topology meeting, at Stockholm U. - Stockholm, Sweden
Combinatorics of orbit configuration spaces
(Feb 2019) Topology RTG seminar, at U. of Michigan - Ann Arbor, MI
Finitely generated families of arrangements
(Jan 2019) Topology seminar, København U. - Copenhagen, Denmark
Finitely generated families of arrangements
(Oct 2018) Topology seminar, at U. of Minnesota - Minneapolis, MN
Combinatorics of representation stability
(Sep 2018) Combinatorics preseminar, at MIT - Cambridge, MA
Finitely generated families of arrangements
(Sep 2018) GASC seminar, at Northeastern U. - Boston, MA
Stable character theory
(Sep 2018) Algebra seminar, at the Weizmann Institute - Rehovot, Israel
Stable character theory
(Aug 2018) Algebra seminar, at Bar Ilan U. - Ramat-Gan, Israel
Finitely generated families of arrangements
(June 2018) Roots of Topology, at U. of Chicago - Chicago, IL
Finitely generated families of arrangements
(May 2018) Topology seminar, at Université de Strasbourg - Strasbourg, France
Finitely generated families of arrangements
(May 2018) Topology seminar, at Université de Montpelier - Montpelier, France
Finitely generated families of arrangements
(Mar 2018) Topology seminar, at Université de Rennes 1 - Rennes, France
Finitely generated families of arrangements
(Mar 2018) joint Topology and Algebra seminar, at UC Irvine - Irvine, CA
Finitely generated families of arrangements
(Mar 2018) Representation stability seminar, at U. of Michigan - Ann Arbor, MI
Finitely generated families of arrangements
(Oct 2017) No Boundaries: Farbfest, at U. of Chicago - Chicago, IL
Lifting finite generation to the space level
(Sep 2017) Topology seminar, at Purdue U. - W. Lafayette, IN
Finitely generated families of subspace arrangements
(Jul 2017) MCA - Math. Congress of the Americas, at McGill University - Montreal, Canada
Stability patterns in representation theory
(Jul 2017) Amitsur algebra seminar, at Hebrew University - Jerusalem, Israel
Stability patterns in representation theory
(Jun 2017) at Tel Aviv University - Tel Aviv, Israel
Categories of FI-type: a combinatorial structure underlying rep. stability
(Apr 2017) AMS Secitonal Meeting , at Indiana University - Bloomington, IN
Representation Stability for Families of Linear Subspace Arrangements
(Sep 2016) AMS Sectional Meeting, at Bowdoin College - Brunswick, ME

Expository

Height of a formal group as a complete invariant
2021 Apr in the Harvard-MIT Juvitop seminar [virtual]
Intro to spectral sequences
2021 Jan in the Farb and Friends learning seminar (U. of Chicago)
Intro to smooth manifolds
2017 Sep in the WOMP program (U. of Chicago)
Hamiltonian dynamics and Noether's theorem
2016 Nov in the Farb and Friends Student Seminar (U. of Chicago)
Classical mechanics without coordinates
2016 Oct in the student Pizza Seminar (U. of Chicago)
Algebraic number theory and the class group
2016 Sep in the WOMP program (U. of Chicago)
Nonstandard Analysis (limits bad, infinitesimals good)
2016 Apr in the student Pizza Seminar (U. of Chicago)
Destiny, fate and free will - an incomplete guide to forcing and independence in Set theory
2015 Mar in the student Pizza Seminar (U. of Chicago)

Public engagement

What modern mathematicians do
2017 Feb in the Kfar Masaryk community lecture series (Kibbutz Kfar Masaryk, Israel)

Teaching

Notes

Representation theory supplementary material

18.204 (Fall 2020)

Final math communication projects from my (Fall 2020) 18.204 course at MIT - Communication intensive course on discrete mathematics:

About me

I am an NSF postdoctoral associate at The University of Michigan, interested in the interplay between geometric topology, representation theory and combinatorics. Specifically, I study representation stability phenomena in configuration spaces and moduli spaces.
In 2019-2021 I was a postdoc at MIT. I got my PhD from The University of Chicago in 2019 under the supervision of Benson Farb.

Postal address
530 Church St
Ann Arbor, MI 48109
USA
E-mail gadish [at] umich.edu
Office 3827 in East Hall
My CV could be found here