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Mathematics Faculty Research / Algebra and Number Theory

Algebra and Number Theory

Faculty
Alberto Corso  
Commutative Algebra
POT 701 
alberto.corso@uky.edu
Heide Gluesing-Luerssen 
Algebraic Coding Theory
POT 751 
heide.gl@uky.edu
Dave Jensen 
Algebraic Geometry
POT 733 
dave.jensen@uky.edu
David Leep 
Quadratic Forms
POT 833 
leep@uky.edu
Christopher Manon 
Algebraic Geometry
POT 959 
Christopher.Manon@uky.edu
Uwe Nagel 
Commutative Algebra and Algebraic Geometry
POT 723 
uwe.nagel@uky.edu
Fernando Xuancheng Shao 
Analytic Number Theory
POT 77 
xuancheng.shao@uky.edu
Current Doctoral Students (Post Qualifying Exam)
Ali Alsetri (Shao)
Eric Burkholder (Jensen)
Sarah Church (Manon)
Casey Hill (Manon)
Doel Rivera Laboy (Jensen)
>> Former Doctoral Students
Emeriti and Former Members
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   
Thomas Huong Tran  (Postdoc 2020-23; Host Shao) Analytic Number Theory   

Seminar

The algebra seminar takes place on Wednesdays, 2:00 - 3:00 pm, in POT 745.

List of talks/abstracts since Summer 2009
Seminar events before Summer 2009

Graduate Courses in Algebra

  Fall Spring
2024-2025 MA 565 - Linear Algebra - D. Jensen 
MA 561 - Algebra I - C. Manon 
MA 665 - Rings and Modules - D. Jensen 
MA 765 - Selected Topics in Algebra: Combinatorial Nonlinear Algebra - U. Nagel
MA 661 - Algebra II - H. Gluesing-Luerssen 
MA 765 - IBL Chip Firing - D. Jensen
2023-2024 MA 565 - Linear Algebra - H. Gluesing-Luerssen 
MA 561 - Algebra I - D. Jensen 
MA 665 - Rings and Modules - C. Manon 
MA 765 - Selected Topics in Algebra: Nonlinear Algebra - U. Nagel
MA 661 - Algebra II - H. Gluesing-Luerssen 
MA 765 - Selected Topics in Algebra - C. Manon
2022-2023 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
MA 661 - Algebra II - H. Gluesing-Luerssen 
MA 764 - Selected Topics in Algebra - T. H. Tran 
MA 765 - Selected Topics in Algebra - X. Shao
2021-2022 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
MA 661 - Algebra II - H. Gluesing-Luerssen 
MA 764 - Selected Topics in Algebra - T. H. Tran 
MA 765 - Selected Topics in Algebra - C. Manon
2020-2021 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
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
2019-2020 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
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
2018-2019 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
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
2017-2018 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
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
2016-2017 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
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
2015-2016 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
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
2014-2015 MA 561 - Algebra I - H. Gluesing-Luerssen 
MA 565 - Linear Algebra - U. Nagel 
MA 764 - Selected Topics in Algebra - A. Sathaye
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

Previous Graduate Courses in Algebra >>

Maintained by David Jensen.
Last update: March 4, 2025