Kevin Tucker
Professor
Department of Mathematics, Statistics, & Computer Science
Embedded Files
419 Science and Engineering Offices
UIC MSCS Department
322 SEO (M/C 249)
851 S Morgan St
Chicago, IL 60607
Research interests
Research interests
Singularities and invariants arising in positive characteristic commutative algebra (such as test ideals and F-signature) and birational complex algebraic geometry (including multiplier ideals and jumping numbers).
About
About
I earned my Ph.D. in Mathematics from the University of Michigan in 2010 under the direction of Karen Smith. After that, I was awarded an NSF Postdoctoral Fellowship, and held postdoctoral positions at the University of Utah and Princeton University. I have been at UIC since 2013, where my research has been supported in part by grants from the NSF and the Sloan Foundation, and I was promoted to full professor in 2020. In addition to my research, I am a dedicated undergraduate and graduate instructor, and have supervised several graduate students who have gone on to successful careers in academia and industry. I have also played an active role in departmental leadership, having served as Associate Head of Instruction, Associate Head of Operations, and on various committees at UIC.
Some Previous Events
Some Previous Events
Some RTG Activities:
The Homological Conjectures in Commutative Algebra (November 18-20, 2016)
Research Experience for Undergraduates in Commutative Algebra at UIC (May 23 - June 3, 2016)
Workshop on Higher Codimension Cycles in Algebraic Geometry (March 11-13, 2016)
Reading Course on Important Examples in Algebraic Geometry (Spring 2016)
Workshop on Syzygies of Algebraic Varieties at UIC (Nov 20-22, 2015)
Notes
Notes
An Introduction to Singularities in Commutative Algebra via Perfectoid Big Cohen-Macaulay Algebras (joint with Linquan Ma): These notes were written for a lecture series on Singularities via BCM Algebras for the ICPT School on Commutative Algebra and Algebraic Geometry in Prime Characteristics in 2023. To appear in a volume dedicated to Hochster and Huneke. (Notes & Videos 1,2,3,4)
Three Lectures on Test Ideals: These notes were written for a lecture series on Test Ideals for the ICTP Graduate Course on Tight Closure of Ideals and its Applications in 2022. To appear in a volume dedicated to Hochster and Huneke. (Videos 1, 2, 3)
Uniform Upper Bounds for Hilbert-Kunz Numbers: This note is a preliminary version of a section of an article in preparation with Yongwei Yao and Felipe Perez. Herein, we show certain uniform upper bounds for Hilbert-Kunz Multiplicity: see Theorem 2.11 and Theorem 2.13. Updated April 26, 2021.
Page updated
Report abuse