MATH 595

Fall 2023 All Classes

All Classes

Advanced Topics in Mathematics

SHOW FINAL EXAM SCHEDULE

Credit: 1 TO 4 hours.

See Class Schedule for current topics.

1 to 4 graduate hours. No professional credit. May be repeated in the same or separate semesters. Prerequisite: Consent of instructor.

My Favorites

My Schedule

Section Status updates every 10 minutes.

MATH 595 class schedule data for fall 2023
CRN	Type	Section	Time	Day	Location	Instructor	Section Details
46710	Lecture-Discussion	GTT	3:00PM -3:50PM	MWF	325 David Kinley Hall	Mineyev, I	Part of Term: 1 Date Range: 08/21/23-12/06/23 Credit: 3 hours Section Title: Geom Group Theory & Topology Section Info: Full title: Open Problems in Geometric Group Theory & Topology. The course will discuss various open problems in geometric group theory and topology. See https://faculty.math.illinois.edu/~mineyev/class/23s/595/ for the course website. Restriction(s): Restricted to Graduate - Urbana-Champaign.
51374	Lecture-Discussion	RZF	9:30AM -10:50AM	TR	214 Davenport Hall	Zaharescu, A	Part of Term: 1 Date Range: 08/21/23-12/06/23 Credit: 4 hours Section Title: Adv. Theory Riemann Zeta Func Section Info: The Riemann zeta function, together with more general L-functions, play a central role in analytic number theory. In this course we will first have a quick review of basic properties of the Riemann Zeta function following Davenport. Then we will follow the presentation in Chapter 5 of Iwaniec and Kowalski of the Riemann Zeta function in the context of general L-functions. After that we will study some recent papers concerned with various deeper and more subtle aspects such as zeros of the Riemann Zeta on the critical line, Jensen polynomials, Laguerre -Polya inequalities, and nonvanishing of L-functions at the central point. Prerequisite: MATH 531. Restriction(s): Restricted to Graduate - Urbana-Champaign.
63378	Lecture-Discussion	SD	9:00AM -9:50AM	MWF	310 David Kinley Hall	Stojanoska, V	Part of Term: 1 Date Range: 08/21/23-12/06/23 Credit: 4 hours Section Title: Group Cohomology Section Info: Cohomology of groups is a ubiquitous and informative invariant with applications in algebraic topology, number theory, representation theory, and any other area where group actions play a role. In this course, we will mostly focus on the cohomology of finite and profinite groups. We will devote a good portion of time on developing computational tools. Prerequisites: Some algebraic topology, especially homology and cohomology, such as covered in Math 525 and 526. Restriction(s): Restricted to Graduate - Urbana-Champaign.