Kevin Tucker

Professor

kftucker@uic.edu

417 Science and Engineering Offices

Monday 1-2, Wednesday 3-4

and by appointment

Department of Mathematics,

Statistics, and Computer Science

kftucker@uic.edu

417 Science and Engineering Offices

Monday 1-2, Wednesday 3-4

and by appointment

UIC MSCS Department

322 SEO (M/C 249)

851 S Morgan St

Chicago, IL 60607

Curriculum Vitae

Publications

Math 552 Fall 2018

322 SEO (M/C 249)

851 S Morgan St

Chicago, IL 60607

Curriculum Vitae

Publications

Math 552 Fall 2018

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).

- Algebraic Geometry Seminar
- Commutative Algebra Seminar
- NSF Research Training Grant at UIC
- Perfectoid Rings Reading Seminar (Fall 2018)
- Undergraduate Mathematics Symposium (November 10, 2018)

- Algebraic Geometry and its Broader Implications: A Conference in honor of Hartshorne’s 80th and the book’s 40th (RTG Workshop, March 2018)
- RTG Workshop on the Homological Conjectures in Commutative Algebra (November 18-20, 2016)
- RTG Research Experience for Undergraduates in Commutative Algebra at UIC (May 23 - June 3, 2016)
- Local and Global Methods in Algebraic Geometry (RTG Conference in honor of Lawrence Ein's 60th Birthday, May 12-15, 2016)
- RTG Workshop on Higher Codimension Cycles in Algebraic Geometry (March 11-13, 2016)
- RTG Reading Course on Important Examples in Algebraic Geometry (Spring 2016)
- RTG Workshop on Syzygies of Algebraic Varieties at UIC (Nov 20-22, 2015)
- RTG Workshop on Local Cohomology at UIC (Feb 27-Mar 1, 2015)
- RTG Reading Course on Algebraic Surfaces (Spring 2015)
- RTG Workshop on Newton-Okunkov Bodies at UIC (Nov 18, 2014)
- RTG Reading Course on Representation Theory (Fall 2014)
- RTG Workshop on Positive Characteristic Algebraic Geometry at UIC (March 21-23, 2014)

- 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.