Susanna Fishel works in enumerative and algebraic combinatorics. Combinatorics is the study of discrete objects: for example, subsets of a three element set; distinct necklaces of three red beads and four blue beads; paths from (0,0) to (n,n) on a grid; distinct ways to write an integer n as a sum of positive integers. Enumerative combinatorics focuses on counting discrete objects. (Answers for the examples above are, respectively: 8, 4, (2n)!/n!n!, and unknown!). Algebraic combinatorics is the study of discrete objects where either the techniques used, or the objects themselves, arose naturally from algebra. These problems often come from other areas of math, physics, and computer science. For example, the techniques used recently to solve a long-standing open problem in operator algebras (the Kadison-Singer Conjecture) were essentially combinatorial.
In particular, Fishel studies the combinatorics of Catalan objects, a topic with many wonderful and surprising connections to other areas of math.
Ph.D. University of Minnesota-Minneapolis 1993
Summer 2022 | |
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Course Number | Course Title |
MAT 595 | Continuing Registration |
APM 792 | Research |
MAT 792 | Research |
MAT 795 | Continuing Registration |
Spring 2022 | |
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Course Number | Course Title |
MAT 493 | Honors Thesis |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2021 | |
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Course Number | Course Title |
MAT 243 | Discrete Math Structures |
MAT 492 | Honors Directed Study |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
MAT 792 | Research |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Summer 2021 | |
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Course Number | Course Title |
MAT 595 | Continuing Registration |
APM 792 | Research |
MAT 792 | Research |
MAT 795 | Continuing Registration |
Spring 2021 | |
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Course Number | Course Title |
MAT 419 | Intro to Linear Optimization |
MAT 493 | Honors Thesis |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
Fall 2020 | |
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Course Number | Course Title |
MAT 243 | Discrete Math Structures |
MAT 415 | Introduction to Combinatorics |
MAT 492 | Honors Directed Study |
MAT 512 | Introduction to Combinatorics |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
Summer 2020 | |
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Course Number | Course Title |
MAT 595 | Continuing Registration |
APM 792 | Research |
MAT 792 | Research |
MAT 795 | Continuing Registration |
Spring 2020 | |
---|---|
Course Number | Course Title |
MAT 243 | Discrete Math Structures |
MAT 493 | Honors Thesis |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
Fall 2019 | |
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Course Number | Course Title |
MAT 243 | Discrete Math Structures |
MAT 492 | Honors Directed Study |
MAT 514 | Enumerative Combinatorics I |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
Summer 2019 | |
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Course Number | Course Title |
MAT 792 | Research |
Spring 2019 | |
---|---|
Course Number | Course Title |
MAT 419 | Intro to Linear Optimization |
MAT 493 | Honors Thesis |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
Fall 2018 | |
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Course Number | Course Title |
MAT 243 | Discrete Math Structures |
MAT 492 | Honors Directed Study |
MAT 590 | Reading and Conference |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
Summer 2018 | |
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Course Number | Course Title |
MAT 590 | Reading and Conference |
MAT 599 | Thesis |
MAT 792 | Research |
Spring 2018 | |
---|---|
Course Number | Course Title |
MAT 493 | Honors Thesis |
MAT 515 | Enumerative Combinatorics II |
MAT 590 | Reading and Conference |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
Fall 2017 | |
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Course Number | Course Title |
MAT 415 | Introduction to Combinatorics |
MAT 492 | Honors Directed Study |
MAT 512 | Introduction to Combinatorics |
MAT 514 | Enumerative Combinatorics I |
MAT 590 | Reading and Conference |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
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