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Nick Switala

Research Assistant Professor and NSF Postdoctoral Fellow
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago

Contact

Address: UIC MSCS Department, 322 SEO (M/C 249), 851 S. Morgan Street, Chicago, IL 60607
Office: SEO 630
Email: nswitala [at] uic [dot] edu

Curriculum Vitae (March 2019)

Research

I work in commutative algebra and algebraic geometry, with a special interest in local cohomology. Here is my research statement, current as of fall 2018.

My NSF sponsor is Wenliang Zhang. I received my Ph.D. from the University of Minnesota in 2015. My adviser was Gennady Lyubeznik.

Papers

The stable part of the Matlis dual of an F-finite F-module (with Wenliang Zhang), coming soon.

On completion of graded D-modules (with Wenliang Zhang), to appear in Mathematical Research Letters. Link

A dichotomy for the injective dimension of F-finite F-modules and holonomic D-modules (with Wenliang Zhang), to appear in the special issue of Communications in Algebra dedicated to Gennady Lyubeznik. Link

Duality and de Rham cohomology for graded D-modules (with Wenliang Zhang), Advances in Mathematics 340 1141--1165, 2018. Link

On the de Rham homology and cohomology of a complete local ring in equicharacteristic zero, Compositio Mathematica 153 (10) 2075--2146, 2017. Link

Van den Essen's theorem on the de Rham cohomology of a holonomic D-module over a formal power series ring, Expositiones Mathematicae 35 (2) 149--165, 2017. Link

Lyubeznik numbers for nonsingular projective varieties, Bulletin of the London Mathematical Society 47 (1) 1--6, 2015. Link

Teaching

I am not teaching in spring 2019.

Disclaimer

My work is supported by the National Science Foundation under award number 1604503. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.