Advanced Topics Courses

Fall 2017
Course Section CRN Title and Description
Math 595 AIR 64464 Anatomy of Integers and Random Permutations (Ford)
See full course description.
Math 595 EC 42963 Elliptic Curves (Duursma)
See full course description.
Math 595 HAK 58570 Higher Algebraic K-theory: classical results (Heller)
See full course description.
Math 595 QIT 62754 Operator algebra methods in Quantum Information Theory (Junge)
See full course description.
Math 595 TF 48012 Tube Formulas in Convex and Riemannian Geometry, Part B Oct 23 – Dec 13, 2017 (Tyson)
See full course description.
Spring 2017
Course Section CRN Title and Description
Math 595 ACE 64841 Algebraic Curves & Surfaces (Cliff)
See full course description.
Math 595 AIG 64840 Asymptotic Invariants of Groups (Sapir)
See full course description.
Math 595 ELI 63212 Equity Linked Insurance (Feng)
See full course description.
Math 595 GTC 64839 Geometry, Topology, and Groups (Leininger)
See full course description.
Math 595 IPS 64837 Interacting Many-Particle Systems (Kirkpatrick)
See full course description.
Math 595 MAG 64836 Modern Algebraic Geometry II (Katz)
See full course description.
Math 595 MFF 64833 Modular Forms (Ahlgren)
See full course description.
Math 595 PFO 64835 Perron-Frobenius Operators (Boca)
See full course description.
Math 595 SPD 64838 Spectral Theory of PDEs (Laugesen)
See full course description.
Math 595 TPD 64834 Theory of Partitions (Berndt)
See full course description.
Math 598 ACA 65929 Analytic Combinatorics, with Applications (Baryshnikov)
See full course description.
Math 598 OA 61174 Operator Algebras (Junge)
Math 598 REN 45371 Research Experience in Number Theory (Berndt)
Fall 2016
Course Section CRN Title and Description
Math 595 CLS 49185 Correlations and Local Spacings in Number Theory (Zaharescu)
See full course description.
Math 595 CP 64474 Classic Papers in Algebraic Geometry and Geometric Representation Theory (Nevins)
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Math 595 DLG 64464 Dynamics of Large Groups (Solecki)
See full course description.
Math 595 HCT 66669 Higher category theory and quasicategories (Rezk)
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Math 595 HM 64469 Homological methods in group theory and topology (Mineyev)
See full course description.
Math 595 IA 64467 Introduction to Affine Algebraic Groups (Haboush)
See full course description.
Math 595 LF 64475 Local Fields (Allen)
See full course description.
Math 595 STP 58570 Special Topics in Probability (Dey)
See full course description.
Math 598 OA 60303 Operator Algebras (Junge)
Math 598 REN 47921 Research Experience in Number Theory (Berndt)
Spring 2016
Course Section CRN Title and Description
Math 595 AC 52596 Algebraic Combinatorics (Yong)
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Math 595 AT 45994 Applied Topology (Baryshnikov)
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Math 595 CRM 63212 Computational Risk Management of Equity-Linked Life Insurance (Feng)
See full course description.
Math 595 FT 39571 Two Theorems in Contact and Symplectic Topology (Kerman)
See full course description.
Math 595 GTG 63213 Geometry, Topology and Group Theory (Leininger)
See full course description.
Math 595 HM 63214 Holomorphic Mappings (D’Angelo)
See full course description.
Math 595 IT 63215 Intersection Theory (Dutta)
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Math 595 MG2 63216 Modern Algebraic Geometry, II (Nevins)
See full course description.
Math 595 PW 63217 Polyhedra in the Wild (Davidson)
See full course description.
Math 598 OA 61174 Operator Algebras (Junge)
Math 598 REN 45371 Research Experience in Number Theory (Berndt)
See full course description.
Fall 2015
Course Section CRN Title and Description
Math 595 CA 64464 Computer Animation (Francis) 1st 8-week course
See full course description.
Math 595 CLA 64465 Cluster Algebras (Di Francesco)
See full course description.
Math 595 ECM 64475 Elliptic Curves & Modular Forms (Luu)
See full course description.
Math 595 EG 64466 Expander Graphs in Number Theory (Fuchs)
See full course description.
Math 595 ES 64467 Exponential Sums (Zaharescu)
See full course description.
Math 595 GMT 64468 Geometric Measure Theory (Tyson)
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Math 595 IAG 64470 Introduction to the Theory of Algebraic Groups (Haboush)
See full course description.
Math 595 MC 39224 Moduli of Curves (Katz)
See full course description.
Math 595 PDE 64472 Topics in PDEs (Agbanusi)
See full course description.
Math 595 SEE 49185 Smooth and Etale Extensions (Dutta)
See full course description.
Math 595 SPG 64474 Symplectic & Poisson Geometry (Fernandes)
See full course description.
Math 595 VDF 64476 Valued Differential Fields (van den Dries)
See full course description.
Math 598 OA 60303 Operator Algebras (Boca)
Math 598 REN 47921 Research Experience in Number Theory (Berndt)
See full course description.
Spring 2015
Course Section CRN Title and Description
Math 595 AGI 61537 Algebraic Geometry II (Lo)
See full course description.
Math 595 SRS 61538 Super Riemann Surfaces (Katz)
See full course description.
Math 595 CET 61539 Classification in Ergodic Theory (Tserunyan)
See full course description.
Math 595 CT 61536 Coding Theory (Duursma)
See full course description.
Math 595 CGC 61540 Geodesic Currents on Free Groups (Kapovich)
See full course description.
Math 595 LC 39675 Local Cohomology (Dutta)
See full course description.
Math 595 LD 38183 Large Deviations (Sowers)
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Math 598 REN 47921 Literature Seminar in Number Theory (Berndt)
See full course description.
Math 595 LF 62534 L-Functions (Zaharescu)
See full course description.
Math 598 OA  

Literature Seminar in Operator Algebras (Junge)

Math 598 REN 47921 Literature Seminar in Number Theory (Berndt)
See full course description.
Fall 2014
Course Section CRN Title and Description
Math 595 AGI 42955 Algebraic Geometry I (Katz)
See full course description.
Math 595 BS 46711 Banach Spaces (Ruan)
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Math 595 CCT 62765 Curve Complexes and Surface Topology (Dowdall)
See full course description.
Math 595 CFT 39222 Class Field Theory (Duursma)
See full course description.
Math 595 GT 62756 Graph Theory (Balogh)
See full course description.
Math 595 IMS 62764 Integrable Models, Statistical Physics and Combinatorics (Di Francesco)
See full course description.
Math 595 MT 51377 Model Theory (van den Dries)
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Math 595 MTF 63378 Mock Theta Functions (Berndt)
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Math 595 QIT 62754 Quantum Information Theory (Junge)
See full course description.
Math 595 RGT 62758 Reflections of Group Theory (Mineyev)
See full course description.
Math 595 RIS 62753 Representation Theory & Integrable Systems (Bergvelt)
See full course description.
Math 595 TTA 62762 Top Ten Algorithms (Baryshnikov)
See full course description.
Math 598 OA 60303 Operator Algebras (Junge)
Math 598 PFM 60173 Preparing Future Mathematicians (Laugesen)
See full course description.
Math 598 REN 47921 Literature Seminar in Number Theory (Berndt)
See full course description.
Spring 2014
Course Section CRN Title and Description
Math 595 BVA 60052 Bifurcation Theory (Kirr)
See full course description.
Math 595 DST 49974 Descriptive Set Theory (Solecki)
See full course description.
Math 595 ET 60050 Ergodic Theory (Rosenblatt)
See full course description.
Math 595 MTC 54387 Mathematical Tools (Kutzarova)
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Math 595 OS 54383 Operator Spaces (Junge)
See full course description.
Math 595 PG 60051 Poisson Geometry (Fernandes)
See full course description.
Math 595 SFY 44536 Symmetric Functions and Young Tableaux (Yong)
See full course description.
Math 595 TP 43499 Theory of Partitions (Berndt)
See full course description.
Fall 2013
Course Section CRN Title and Description
Math 595 AG2 42955 Algebraic Geometry II (Katz)
See full course description.
Math 595 ANT 51380 Additive Number Theory (Ford)
See full course description.
Math 595 FAO 61080 Faces of amenability: groups, actions, measures, space (Mineyev)
See full course description.
Math 595 IEG 61079 (In)finite ergodic theory (Cellarosi)
See full course description.
Math 595 SE2 42964 Smooth and Etale Extensions II (Dutta)
See full course description. (to be posted)
Math 595 SGT 61081 Symplectic geometry and topology (Kerman)
See full course description.
Math 595 STG 61082 Selected Topics in Graph Theory, III (Kostockha)
See full course description.
Math 595 OMS 55580 O-Minimal Structures (Hieronymi)
See full course description.
 
Math 598 ARB 61421 Around Rolling Balls (Baryshnikov and Arnold) See full course description.
Math 598 PFM 60173 Preparing Future Mathematicians (Laugesen) See full course description.
Math 598 OA 60303 Operator Algebras (Junge)
See full course description.
Math 598 REN 47921 Literature Seminar in Number Theory (Berndt) See full course description.
Spring 2013
Course Section CRN Title and Description
Math 595 GIT 39565 Geometric Invariant Theory (Haboush)
See full course description.
Math 595 BS 38186 Banach Spaces (Junge)
See full course description.
Math 595 IC 51218 Integrable Combinatorics (Di Francesco)
Meets 14-Jan-13 - 08-Mar-13.
See full course description.
Math 595 IQS 58449 Introduction to q-series and Entries from Ramanajun’s Lost Notebook (Berndt)
See full course description.
Math 595 MGO 58451 Metric Geometry and orderability of Groups (Mineyev)
See full course description. (to be posted)
Math 595 MNT 58452 Multiplicative Number Theory (Zaharescu)
See full course description.
Math 595 OA 58453 Topics in Operator Algebras (Brannan)
See full course description.
Math 595 SEE 56132 Smooth and Etale Extensions (Dutta)
See full course description.
Math 595 TGT 58450 Selected Topics in Graph Theory (Kostochka)
See full course description.
Fall 2012
Course Section CRN Title and Description
Math 595 AC 40114 Algebraic Combinatorics (Yong)
See full course description.
Math 595 EC 42963 Elliptic Curves (Duursma)
See full course description.
Math 595 L21 59513 L2 Invariants in Topology and Group Theory (Mineyev)
See full course description.
Math 595 MF 46714 Modular Forms (Ahlgren)
See full course description.
Math 595 STG 60384

Selected Topics in Graph Theory I (Balogh)

Spring 2012
Course Section CRN Title and Description
Math 595 ACA 57626 Analytic Combinatorics and Algorithms (Baryshnikov)
See full course description.
Math 595 ACS 56590 Analytic Continuation in One and Several Variables (Tumanov)
See full course description.
Minicourse: 17-Jan-12 - 09-Mar-12
Math 595 CGV 48262 Computer Graphics and Geometric Visualizations (Francis)
See full course description.
Minicourse: 17-Jan-12 - 09-Mar-12
Math 595 LC 39575 Local Cohomology (Dutta)
See full course description.
Math 595 MTV 56594 Model Theory of Valued Fields (van den Dries)
See full course description.
Math 595 RF 57509 Geometric Topology (La Nave)
See full course description.
Math 595 RLA 56591 The Regularity Lemma and its Applications (Balog)
See full course description.
Math 595 SIC 56592 A Stern Introduction to Combinatorial Number Theory (Reznick)
See full course description.

See past timetables for past Math 595 offerings:
Fall 2007
Spring 2007
Fall 2006
Spring 2006
Fall 2005
Spring 2005
Fall 2004