Nir Gadish

Research

Preprints

Letter-braiding: a universal bridge between combinatorial group theory and topology: (preprint) ArXiv:2308.13635.
A Serre spectral sequence for the moduli space of tropical curves (with C. Bibby, M. Chan and C. Yun): (preprint) ArXiv:2307.01960.
Configuration spaces on a wedge of spheres and Hochschild-Pirashvili homology (with L. Hainaut): (preprint) ArXiv:2202.12494.

Publications

Homology representations of compactified configurations on graphs applied to M_2,n (with C. Bibby, M. Chan and C. Yun): Experimental Mathematics (2023): 1-13.
Product Expansions of q-Character Polynomials (with A. Balachandran, A. Huang and S. Sun): Journal of Algebraic Combinatorics 57, no. 3 (2023): 975-1005.
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): Transactions of the AMS, Series B 10, no. 09 (2023): 241-287.
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Not for publication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

Recondings of seminar and conference talks

(Lots of) Unstable cohomology of moduli spaces of curves with marked points: (Feb 2023) Topology Seminar, at U. of Minnesota
The "generating function" of orbit configuration spaces: (Apr 2020) Topology Seminar, at Purdue U.
Representation stability for finitely generated arrangements: (Oct 2017) No Boundaries -- Farb 50th birthday conference, at the U. of Chicago

Teaching

In 2023, I am the coordinator of the Lab of Geometry (Math 440) at The University of Michigan.
In 2023 Winter semester, taught Math 567 (Coding theory) at The University of Michigan.
In 2022 Fall semester, I taught Math 490 (IBL Topology) in an Active Learning format at The University of Michigan.
In 2022 Winter semester, I taught Math 310 (IBL Probability) in an Active Learning format at The Universiyy of Michigan.
In 2021 Fall semester, I taught Math 115 (Calculus I) in an Active Learning format at The University of Michigan.
In 2021 Winter semester, I taught recitations for Math 18.06 (Linear algebra) at MIT.
In 2020 Fall semester, I taught Math 18.204 (Communications intensive course in discrete math) at MIT. See student projects here.
In the 2018-2019 school year, I taught Math 15200-15300 (Calculus) at UChicago.
In the 2017-2018 school year, I taught Math 15200 (Calculus), and served as a TA in the UChicago study abroad program in Paris.
In the 2016-2017 school year, I taught Math 15300 (Calculus), 17600 (Basic Geometry (IBL)), and 19520 (Mathematical Methods for the Social Sciences) at UChicago.
In the 2015-2016 school year, I taught Math 15100-15200 (Calculus), and 19600 (Linear Algebra) at UChicago.
In the 2014-2015 school year, I was a College Fellow for Math 26700 (Representations of Finite Groups), 26200 (Point-Set Topology) , and 26300 (Algebraic Topology) at UChicago.
In the 2011-2012 school year, I was a junior instructor for Math 114 and Math 157 (Applied Mathematics) at the Hebrew University of Jerusalem.
In the 2010-2011 school year, I was a teaching assistant for Math 314 (Complex Valued Functions) at the Hebrew University of Jerusalem.

Notes

Here are final projects that students wrote for my Communication Intensive course in discrete mathematics at MIT (Fall 2020).
Here are notes in which I tried to understand what are algebraic functions (a long time ago).
Here are notes and supplementary material that I wrote for my representation theory class.
Here is an introduction and motivation to homology.

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:

The polynomial method in incidence geometry.
[by Bryan Chen, Julia Wu, and Emily Xie]
The probabilistic method.
[by Zhezheng Luo, Pachara Sawettamalya, and Yiwei Zhu]
Ramsey theory.
[by Justen Holl, Elizabeth Tso, and Julia Balla]
Machine learning and artificial intelligence.
[by Samuel Dorchuck, Amy Kim, and Abigail Moser]
Applications of algebra to combinatorics.
[by Ellery Rajagopal, Fjona Parllaku, and Áron Ricardo Perez-Lopez]

About me

I am a postdoctoral assistant professor and Desapio Fellow at The University of Michigan. My research interests lie in the interplay between algebraic topology, moduli problems, group theory and representation theory. In particular, 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

Department of Mathematics
University of Michigan

530 Church St
Ann Arbor, MI 48109
USA

E-mail	gadish [at] umich.edu
Office	3827 in East Hall
My CV	is found here