# Algebra and Number Theory

See here for our Algebra and Number Theory Seminar Schedule.

Algebra& Number Theory |
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C.F. Gauß |
E. Noether |
D. Hilbert |
F.J. MacWilliams |

Faculty | |
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Alberto Corso |
Commutative Algebra |

Heide Gluesing-Luerssen |
Algebraic Coding Theory |

Dave Jensen |
Algebraic Geometry |

David Leep |
Quadratic Forms |

Christopher Manon |
Algebraic Geometry |

Uwe Nagel |
Commutative Algebra and Algebraic Geometry |

Fernando Xuancheng Shao |
Analytic Number Theory |

PostDocs | |
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Thomas Huong Tran |
Analytic Number Theory |

Current Doctoral Students (Post Qualifying Exam) |
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Courtney George (Manon) |

John Hall (Leep) |

Angela Hanson (Jensen) |

Kathryn Hechtel (Gluesing-Luerssen) |

Benjamin Jany (Gluesing-Luerssen) |

Michael Morrow (Nagel) |

Noah Speeter (Jensen) |

Emeriti and Former Members | |
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James Beidleman (Emeritus) |
Group Theory |

Donald Coleman (Emeritus) |
Group Rings |

Paul Eakin (Emeritus) |
Commutative Algebra, Outreach |

Edgar Enochs (Emeritus) |
Homological Algebra |

Avinash Sathaye (Emeritus) |
Algebraic Geometry |

Cornelia Yuen (PostDoc 2006-07; Host Corso) |
Commutative Algebra and Algebraic Geometry |

Bonnie Smith (PostDoc 2010-12; Host Corso) |
Commutative Algebra |

Augustine O'Keefe (PostDoc 2012-14; Host Nagel) |
Commutative Algebra |

Patricia Klein (PostDoc 2018-19; Host Nagel) |
Commutative Algebra |

Nathan Fieldsteel (PostDoc 2017-20; Host Nagel) |
Computational Algebraic Geometry |

Jennifer Kenkel (PostDoc 2019-20; Host Nagel) |
Commutative Algebra |

Max Kutler (PostDoc 2018-21; Host Jensen) |
Combinatorial Aspects of Algebraic Geometry |

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**Seminar**

In Fall 2022 the seminar takes place Wednesdays, 2:00 - 3:00 pm, in POT 754. Coordinators: Thomas Huong Tran and Benjamin Jany. A tentative list of scheduled talks can be found here.

List of talks/abstracts since Summer 2009

Seminar events before Summer 2009

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**Graduate Courses in Algebra**

**Fall 2022:**

- MA 565 - Linear Algebra - X. Shao
- MA 561 - Algebra I - H. Gluesing-Luerssen
- MA 665 - Rings and Modules - C. Manon
- MA 765 - Selected Topics in Algebra: - D. Jensen

**Spring 2022:**

- MA 661 - Algebra II - H. Gluesing-Luerssen
- MA 764 - Selected Topics in Algebra - T. H. Tran
- MA 765 - Selected Topics in Algebra - C. Manon

**Fall 2021:**

- MA 565 - Linear Algebra - U. Nagel
- MA 561 - Algebra I - H. Gluesing-Luerssen
- MA 665 - Rings and Modules - D. Jensen
- MA 765 - Selected Topics in Algebra: - D. Leep

**Spring 2021:**

- MA 661 - Algebra II - D. Leep
- MA 764 - Selected Topics in Algebra: Matroid Theory - M. Kutler
- MA 765 - Selected Topics in Algebra: Representation Theory - C. Manon

**Fall 2020:**

- MA 565 - Linear Algebra - H. Gluesing-Luerssen
- MA 561 - Algebra I - D. Leep
- MA 665 - Rings and Modules - U. Nagel
- MA 765 - Selected Topics in Algebra: - F. Shao

**Spring 2020:**

- MA 661 - Algebra II - F. Shao
- MA 764 - Selected Topics in Algebra: Finite Geometry - H. Gluesing-Luerssen
- MA 765 - Selected Topics in Algebra: Quadratic Forms - D. Leep

**Fall 2019:**

- MA 565 - Linear Algebra - U. Nagel
- MA 561 - Algebra I - F. Shao
- MA 665 - Rings and Modules - D. Jensen
- MA 765 - Selected Topics in Algebra: Combinatorial Commutative Algebra; Tropical Geometry - C. Manon

**Spring 2019:**

- MA 661 - Algebra II - C. Manon
- MA 764 - Selected Topics in Algebra: Chip Firing! - D. Jensen
- MA 765 - Selected Topics in Algebra: Homological Algebra with Homotopical Applications - N. Fieldsteel

**Fall 2018:**

- MA 565 - Linear Algebra - U. Nagel
- MA 561 - Algebra I - C. Manon
- MA 665 - Rings and Modules - H. Gluesing-Luerssen
- MA 765 - Selected Topics in Algebra - F. Shao

**Spring 2018:**

- MA 661 - Algebra II - D. Leep
- MA 764 - Selected Topics in Algebra: Finite Geometry - H. Gluesing-Luerssen
- MA 765 - Selected Topics in Algebra: Introduction to Algebraic Geometry - D. Jensen

**Fall 2017:**

- MA 565 - Linear Algebra - H. Gluesing-Luerssen
- MA 561 - Algebra I - D. Leep
- MA 665 - Rings and Modules - U. Nagel
- MA 765 - Selected Topics in Algebra: Combinatorial Commutative Algebra - C. Manon

**Spring 2017:**

- MA 661 - Algebra II - D. Jensen
- MA 764 - Selected Topics in Algebra: Coding Theory - H. Gluesing-Luerssen
- MA 765 - Selected Topics in Algebra: Hilbert Functions - U. Nagel

**Fall 2016:**

- MA 561 - Algebra I - D. Jensen
- MA 565 - Linear Algebra - H. Gluesing-Luerssen
- MA 665 - Rings and Modules - U. Nagel
- MA 765 - Selected Topics in Algebra - D. Leep

**Spring 2016:**

- MA 661 - Algebra II - U. Nagel
- MA 764 - Selected Topics in Algebra - A. Corso
- MA 765 - Selected Topics in Algebra: Duality Theory for Modules over Finite Frobenius Rings - H. Gluesing-Luerssen

**Fall 2015:**

- MA 561 - Algebra I - U. Nagel
- MA 565 - Linear Algebra - D. Jensen
- MA 764 - Selected Topics in Algebra: Finite Frobenius Rings and Character Theory - H. Gluesing-Luerssen

**Spring 2015:**

- MA 661 - Algebra II - H. Gluesing-Luerssen
- MA 764 - Selected Topics in Algebra: Intro to Algebraic Curves - D. Jensen
- MA 765 - Selected Topics in Algebra: Commutative Algebra - A. Corso

**Fall 2014:**

- MA 561 - Algebra I - H. Gluesing-Luerssen
- MA 565 - Linear Algebra - U. Nagel
- MA 764 - Selected Topics in Algebra - A. Sathaye

**Spring 2014:**

- MA 562 - Modern Algebra II - A. Sathaye
- MA 764 - Selected Topics in Algebra: Integral Quadratic Forms - D. Leep
- MA 765 - Selected Topics in Algebra: Representation Theory - U. Nagel

**Fall 2013:**

- MA 561 - Modern Algebra I - A. Sathaye
- MA 565 - Linear Algebra - E. Enochs
- MA 764 - Selected Topics in Algebra - A. Corso

**Spring 2013:**

- MA 562 - Modern Algebra II - A. Corso
- MA 764 - Selected Topics in Algebra: Algebras, Coalgebras and Bialgebras - E. Enochs
- MA 765 - Selected Topics in Algebra: Algebraic Geometry and Commutative Algebra - U. Nagel

**Fall 2012:**

- MA 561 - Modern Algebra I - A. Corso
- MA 565 - Linear Algebra - D. Leep
- MA 765 - Topics in Coding Theory - H. Gluesing-Luerssen

**Spring 2012:**

- MA 661 - Modern Algebra II - H. Gluesing-Luerssen
- MA 764 - Selected Topics in Algebra - E. Enochs
- MA 765 - Selected Topics in Algebra: Schubert Varieties - U. Nagel

**Fall 2011:**

- MA 561 - Modern Algebra I - H. Gluesing-Luerssen
- MA 565 - Linear Algebra - A. Corso
- MA 765 - Topics in Number Theory - D. Leep

Previous Graduate Courses in Algebra >>

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**Current and Former Events**

- Multivariate Cryptography and the Hardness of Polynomial System Solving, May 2022, Hayden-Howard Lecture presented by Elisa Gorla (University of Neuchatel, Switzerland) in Spring 2022; Co-organized by Heide Gluesing-Luerssen and Uwe Nagel
- Complex Dynamics and Arithmetic Distribution, April 2019, Hayden-Howard Lecture presented by Laura DeMarco (Northwestern University) in Spring 2019; Co-organized by Dave Jensen and Chris Manon
- Graduate Workshop in Commutative Algebra for Women & Mathematicians of Other Minority Genders in April 2019; Co-organized by Patricia Klein
- Oberwolfach mini-workshop on Algebraic, Geometric, and Combinatorial Methods in Frame Theory in October 2018; Co-organized by Chris Manon
- AIM Workshop on Foundations for Tropical Schemes in April 2017; Co-organized by Dave Jensen
- Eaves Lecture and Film-Showing on Ramanujan delivered by Ken Ono (Emory University) in October 2016; Organized by David Leep
- MSRI Summer School on Chip-Firing and Tropical Curves in July 2016; Co-organized by Dave Jensen
- Conference on Tropical and Nonarchimedean Analytic Geometry of Moduli Spaces at Casa Matematica Oaxaca in May 2016; Co-organized by Dave Jensen
- Midwest Commutative Algebra and Algebraic Geometry Conference at the University of Notre Dame in May 2016; Co-organized by Uwe Nagel
- Mathematical Coding Theory in Multimedia Streaming, Workshop at the Banff International Research Station, October 2015; Co-organized by Heide Gluesing-Luerssen.
- International Conference in Homological Algebra; Including one day honoring Professor Edgar Enochs' career, July 2015;
- Singularities in algebraic geometry: how many times does a polynomial vanish at a point?, March 2015, Fifteenth Annual Hayden-Howard Lecture presented by Robert Lazarsfeld, SUNY Stony Brook;
- 3rd Bluegrass Algebra Conference, June 2012. Co-organized by Alberto Corso.
- Plato's Cave: How much can you tell from a shadow on the wall?, Tenth Annual Hayden-Howard Lecture presented by David Eisenbud, University of California at Berkeley, April 2010.
- AMS Sectional Meeting #1057, March 2010, Co-organized by Alberto Corso.
- PASI: Commutative Algebra and its interactions to Geometry, Olinda (Brazil), August 3-14, 2009
- 2nd Bluegrass Algebra Conference, March 7-8, 2009. Organized by Alberto Corso and Uwe Nagel.
- Math Club talk given by David Cox: Tangents to four unit spheres, March 5, 2009.
- Three Challenges of Claude Shannon, Eighth Annual Hayden-Howard Lecture presented by Joachim Rosenthal, University of Zürich (Switzerland) , April, 2008. This talk is suitable for advanced undergraduates! Organized by Heide Gluesing-Luerssen
- UIC-Purdue Workshop, December 2-3, 2006.
- The History of Imaginary Numbers, presented by Robin Hartshorne, University of California (Berkeley). April 6, 2006. This talk is suitable for all undergraduates!
- Midwest Algebra, Geometry and their Interactions Conference (MAGIC 05), October 7-11, 2005.
- Lipman-Fest, May 17-21, 2004.
- Bluegrass Algebra Conference and Hayden-Howard Lectureship, April 11-13, 2003.

Maintained by Heide Gluesing-Luerssen.

Last update: August 15, 2022