# Topics Courses

## Spring 2024 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

60610 | Basic Discrete Mathematics | Karp | Syllabus |

80220 | Topics in Algebra - Soergel Bimodules | Dyer | Syllabus |

80350 | Topics in Harmonic Analysis & PDE | Misiolek | Syllabus |

80440 | Topics in Braid Group | Salter | Syllabus |

80520 | Topics in Logic | Dobrinen | Syllabus |

80750 | Topics in Differential Geometry | Zhao | Syllabus |

## Fall 2023 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

80210 | Topics in Algebra | Vandebogert | Syllabus |

80430 | Topics in Topology | Behrens | Syllabus |

80510 | Topics in Mathematical Logic | Starchenko | Syllabus |

80870 | Topics in Mathematical Physics | Hall | Syllabus |

## Spring 2023 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

80220 | Topics in Algebra II | Riedl | Syllabus |

80350 | Topics in Analysis | Himonas | Syllabus |

80440 | Topics in Topology | C. Schommer-Pries | Syllabus |

80520 | Topics in Logic | Pillay | Syllabus |

80870 | Topics in Mathematical Physics | Gekhtman | Syllabus |

## Fall 2022 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

80210 | Topics in Algebra | Evens | Syllabus |

80350 | Topics in Complex Analysis | Shaw | Syllabus |

80430 | Topics in Group Cohomology | Putman | Syllabus |

80510 | Topics in Mathematical Logic | Dobrinen | Syllabus |

80750 | Topics in Differential Geometry I | Q. Han | Syllabus |

80870 | Topics in Mathematical Physics | Mnev | Syllabus |

## Spring 2022 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

60710 | Instroduction to Algebraic Geometry | Raicu | Syllabus |

80220 | Topics in Algebra II | Polini |
Topics in Algebra II was a course on basic topics in Homological Algebra and applications in commutative algebra. Topics covered included projective and injective resolutions, derived functors, Tor and Ext, projective, injective and global dimension. Spectral sequences with some interesting applications to commutative algebra were also covered. |

80350 | Topics in Analysis | Diller | An introduction to discrete dynamical systems, focusing especially on one dimensional real and complex dynamical systems. |

80440 | Topics in Topology II | C. Schommer-Pries | Syllabus |

80520 | Topics in Math Logic II | Starchenko | Syllabus |

80870 | Topics in Mathematical Physics | Gekhtman | Syllabus |

## Fall 2021 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

70330 | Intermediate Geometry and Topology | Mnev |
Topics in geometry and topology, including lie groups and manifolds. |

80210 | Moduli of Curves | Janda | This course serves as an introduction to the moduli space of curves, or equivalently, the moduli space of compact Riemann surfaces. Emphasis will be placed on the algebraic approach, but the analytic and topological approaches will also be discussed. Topics will include: Moduli spaces in general, Teichmuller space, constructions of the moduli space of curves, stable curves, etc. |

80350 | Topics in Analysis | Q. Han | Syllabus |

80430 | Topics in Topology I | Putman | Syllabus |

80510 | Topics in Mathematical Logic | Cholak | Topics in reverse mathematics, including the role of forcing.Syllabus |

80750 | Topics in Differential Geometry I | Edelen | An introduction to geometric measure theory |

## Spring 2021 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

80220 | Topics in Algebra II | Riedl | Syllabus |

80440 | Topics in Topology | Stolz | Syllabus |

80520 | Topics in Logic II | Pillay | Syllabus |

80870 | Topics in Mathematical Physics | Shapiro | Syllabus |

## Fall 2020 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

70330 | Intermediate Geometry and Topology | Nicolaescu | |

80210 | Quantum Groups | Trampel | A course covering quantum groups |

80350 | Topics in Analysis | Shaw | Syllabus |

80430 | Topics in Topology I | Behrens | A course in homotopy theory |

80510 | Topics in Mathematical Logic | Cholak | An introduction to reverse mathematics |

80750 | Topics in Differential Geometry | Szekelyhidi | Syllabus |

## Spring 2020 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

80220 | Topics in Algebra II | Studenmund | A course in arithmetic groups |

80440 | Topics in Topology II | Stolz | A course in index theory |

80520 | Topics in Mathematical Logic II | Starchenko | Syllabus |

80750 | Topics in Differential Geometry I | Pugh | A course on Plateau's problem and related topics |

## Fall 2019 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

70330 | Intermediate Geometry and Topology | Mnev | Topics from characteristic classes, symplectic geometry, index theorems, and related subjects |

80210 | Computational and Combinatorial Commutative Algebra | Sammartano | Syllabus |

80430 | Topics in Topology I | Behrens | Equivariant homotopy theory and Hill-Hopkins-Ravenel |

80510 | Topics in Mathematical Logic | Knight | A course covering topics in mathematical logic |

80750 | Topics in Differential Geometry | Gursky | A survey of various topics related to the existence problem for (Rie-mannian) Einstein metrics |

80870 | Topics in Mathematical Physics | Gekhtman | A course covering Lie-theoretic approach to classical and quantum integrable systems |

## Spring 2019 Courses

Course # | Course Title | Instructor | Syllabus |
---|---|---|---|

80210 | Homological Commutative Algebra and Symmetry | Raicu | |

80220 | Topics in Algebra II | Riedl | Syllabus |

80440 | Topics in Topology II | Mnev | Syllabus |

80520 | Topics in Math Logic II | Knight | Syllabus |

## Fall 2018 Courses

Course # | Course Title | Syllabus |
---|---|---|

60330 | Basic Geometry and Topology | Syllabus |

60350 | Basic Real Analysis I | Syllabus |

60610 | Polynomial Methods in Combinatorics | Syllabus |

60650 | Basic PDE | Syllabus |

60710 | Introduction to Algebraic Geometry | Syllabus |

70330 | Intermediate Geometry and Topology | Syllabus |

80430 | Topics in Topology | Syllabus |

80510 | Topics in Mathematical Logic | Syllabus |

80750 | Topics in Differential Geometry | Syllabus |

80770 | Topics in Machine Learning | Syllabus |

## Spring 2018 Courses

Course # | Course Title | Syllabus |
---|---|---|

Course # | Course Title | |

70220 | Lie Groups | Syllabus |

80220 | Algebraic Number Theory | Syllabus |

80440 | Topics in Topology II | Syllabus |

80520 | Topics in Mathematical Logic II | Syllabus |

80870 | Topics in Mathematical Physics | Syllabus |

## Fall 2017 Courses

Course # | Course Title | Syllabus |
---|---|---|

Course # | Course Title | |

60710 | Introduction to Algebraic Geometry | Syllabus |

70330 | Intermediate Geometry and Topology | Syllabus |

80430 | Topics in Topology | Syllabus |

80510 | Topics in Mathematical Logic | Syllabus |

80750 | Topics in Differential Geometry: Symmetric Spaces | Syllabus |

## Spring 2017 Courses

Course # | Course Title | Syllabus |
---|---|---|

80440 | Topics in Topology II | Syllabus |

80520 | Topics in Mathematical Logic | Syllabus |

80620 | Introduction to Algebraic Geometry II | Syllabus |

80750 | Topics in Differential Geometry I | Syllabus |

## Fall 2016 Courses

Course # | Course Title | Syllabus |
---|---|---|

60710 | Topics in Algebraic Geometry | Syllabus |

70330 | Intermediate Geometry & Topology | Syllabus |

80210 | Topics in Algebra | Syllabus |

80430 | Topics in Topology | Syllabus |

80510 | Topics in Logic | Syllabus |

80870 | Topics in Mathematical Physics | Syllabus |

## Spring 2016 Courses

Course # | Course Title | Syllabus |
---|---|---|

80750 | Topics in Differential Geometry: Rigidity Problems | Syllabus |

80520 | Topics in Math Logic II | Syllabus |

80220 | Introduction to Toric Varieties | Syllabus |

60790 | Numerical Analysis II | Syllabus |

60620 | Optimization | Syllabus |

70220 | Lie Groups | Syllabus |

## Fall 2015 Courses

Course # | Course Title | Syllabus |
---|---|---|

Course # | Course Title | |

70330 | Intermediate Geometry and Topology | Syllabus |

80210 | Topics in Algebra I | Syllabus |

80350 | Topics in Analysis | |

80430 | Topics in Topology I | Syllabus |

80510 | Topics in Mathematical Logic | Syllabus |

80870 | Topics in Mathematical Physics |

## Spring 2015 Courses

Course # | Course Title | Syllabus |
---|---|---|

Course # | Course Title | |

80220 | Topics in Algebra II | Syllabus |

80440 | Topics in Topology II | Syllabus |

80520 | Topics in Math Logic II | Syllabus |

80750 | Topics in Differential Geometry I | Syllabus |

80870 | Topics in Mathematical Physics | Syllabus |

## Fall 2014 Courses

Course # | Course Title | Syllabus |
---|---|---|

Course # | Course Title | |

70330 | Intermediate Geometry and Topology | Syllabus |

80210 | Topics in Algebra I | Syllabus |

80430 | Topics in Topology I | Syllabus |

80510 | Topics in Mathematical Logic I | Syllabus |

80870 | Topics in Mathematical Physics: Introduction to Quantum Mechanics | Syllabus |

## Spring 2014 Courses

Course # | Course Title | Syllabus |
---|---|---|

Course # | Course Title | |

80220 | Topics in Algebra II: Introduction to Algebraic Number Theory | Syllabus |

80210 | Topics in Topology II | Syllabus |

80520 | Topics in Mathematical Logic II | Syllabus |

80750 | Topics in Differential Geometry I | Syllabus |

## Fall 2013 Courses

Course # | Course Title | Syllabus |
---|---|---|

Course # | Course Title | |

80210 | Topics in Algebra I | |

80350 | Topics in Analysis | |

80430 | Topics in Topology: Introduction to Morse Theory | Syllabus |

80510 | Topics in Mathematical Logic I: NIP Theories and Computational Learning Theory | Syllabus |

80770 | Topics in Applied Mathematics |