Jack Jeffries

Jack Jeffries

Ph. D. Candidate
(Fifth year)
University of Utah
Department of Mathematics
Office: JWB 128

Advisor: Professor Anurag Singh

B.S.: The Ohio State University, 2010

Jack Jeffries
University of Utah
Department of Mathematics
155 S 1400 E RM 233
Salt Lake City, UT, 84112-0090

Email: jeffriesmath.utah.edu

Research

My research is in Commutative Algebra. More particularly, my interests include local cohomology, Frobenius techniques in the study of singularities, invariant theory, generalized multiplicities, the convex Betti theory of Boij and Söderberg on free resolutions, and connections with statistics and neuroscience.

arXiv page

1. The j-multiplicity of Monomial Ideals, with Jonathan Montaño, Math. Res. Lett., 20 (2013) no. 4, 729-744.
2. Non-simplicial decompositions of Betti diagrams of complete intersections, with Courtney Gibbons, Sarah Mayes, Claudiu Raicu, Branden Stone, and Bryan White, to appear in J. Commut. Algebra
3. Multiplicities of Classical Varieties, with Jonathan Montaño and Matteo Varbaro, submitted
4. Separating Invariants and Local Cohomology, with Emilie Dufresne, submitted

Teaching

Spring 2014: Linear Algebra 2270-002
Fall 2013: Intro to Statistical Inference 1070-004
Summer 2013: Applied Complex Variables 3160-001
Fall 2011: Calculus II 1220-005
Summer 2011: Intro to Statistical Inference 1070-001
Spring 2011: Intermediate Algebra 1010-001
Fall 2010: Quantitative Analysis 1100-005

Links

Prof. Hochster's Homepage
Applications of Algebra
MathSciNet
MathJobs

Seminars & Events

Commalg.org
Algebra Seminar
Bridge Into Knowledge, E.g. the knowledge of commutative algebra Seminar
F-modules reading group
Program Associate Seminar Series
Eisenbud's Seminar
Algebraic Geometry Seminar
Departmental Colloquium
Graduate Colloquium
Undergraduate Colloquium
Post-Seminar






\[\mathrm{Hom}_R(\mathrm{Ext}_R^{d-i}(M,\omega_R),E_R(R/\mathfrak{m}))\cong \mathrm{H}^i_{\mathfrak{m}}(M)\]