## Susanna Fishel

## Biography

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.

## Education

Ph.D. University of Minnesota-Minneapolis 1993

## Publications

- Susanna Fishel and Matjaz Konvalinka. Results and conjectures on the number of standard strong marked tableaux. Journal of Combinatorial Theory A (2015).
- Susanna Fishel and Luke Nelson. Chains of maximal length in the Tamari lattice. Proceedings of the AMS (2014).
- Susanna Fishel, Myrto Kallipoliti, and Eleni Tzanaki. Facets of the generalized cluster complex and regions in the extended Catalan arrangement of type A. Electronic Journal of Combinatorics (2013).
- Susanna Fishel and Matjaz Konvalinka. Results and conjectures on the number of standard strong marked tableaux. 25th annual conference on FPSAC (Orsay, France). The extended abstracts from the conference appear in Discrete Math and Theoretical Computer Science (2013).
- Susanna Fishel and Matjaz Konvalinka. Results and conjectures on the number of standard strong marked tableaux. The Seventh European Conference on Combinatoircs, Graph Theory and applications (2013).
- Susanna Fishel, Eleni Tzanaki, Monica Vazirani. Counting Shi regions with a fixed separating wall. 23rd Annual Conference on FPSAC (Reykjavik, Iceland) (2011).
- S. Fishel, M. Vazirani. A bijection between dominant Shi regions and core partitions. European Journal of Combinatorics (2010).
- Susanna Fishel and Monica Vazirani. A bijection between dominant Shi regions and core partitions. 22nd Annual Conference on FPSAC (San Fransisco, USA) (2010).
- Susanna Fishel, Eleni Tzanaki, Monica Vazirani. Counting Shi regions with a fixed separating wall. Annals of Combinatorics (0).

## Research Activity

- Fishel,Susanna*. Collaboration on Problems in Algebraic Combinatorics. Simons Collaboration Grants for Mathematicians,ASU FDN(9/1/2020 - 8/31/2025).
- Fishel,Susanna*. Collaboration on Problems in Algebraic Combinatorics. Simons Collaboration Grants for Mathematicians,ASU FDN(9/1/2015 - 8/31/2020).
- Kostelich,Eric John*, Armbruster,Hans Dieter, Czygrinow,Andrzej Michal, Fishel,Susanna, Gelb,Anne, Jacobs,Mark, Kawski,Matthias, Kuang,Yang, Mahalov,Alex, Moustaoui,Mohamed, Platte,Rodrigo B, Tang,Wenbo. MCTP: Mathematics Mentoring Partnership Between Arizona State University and the Maricopa County Community College District. NSF-MPS-DMS(7/15/2012 - 6/30/2017).
- Fishel,Susanna*. The Combinatorics of Higher Dimensional Catalan Polynomials. NSF-MPS-DMS(6/1/2012 - 5/31/2016).
- Fishel,Susanna*. Collaboration on Problems in Algebraic Combinatorics. Simons Fdtn(7/1/2011 - 8/31/2012).
- Fishel,Susanna*. Formal Power Series and Algebraic Combinatorics: an International Combinatorics Conference. NSF-MPS-DMS(3/1/2011 - 2/28/2013).
- Fishel,Susanna*. Formal Power Series and Algebraic Combinatorics: an International Combinatorics Conference. NSA(3/1/2011 - 2/28/2012).
- Fishel,Susanna*. Formal Power Series and Algebraic Combinatorics Conference 2009. NSF-MPS-DMS(7/1/2009 - 6/30/2010).
- Fishel,Susanna*. Formal Power Series and Algebraic Combinatorics: an International Combinatorics Conference. NSA(5/11/2009 - 5/10/2010).

## Teaching Website

## Courses

Fall 2021 | |
---|---|

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 | |
---|---|

Course Number | Course Title |

MAT 595 | Continuing Registration |

APM 792 | Research |

MAT 792 | Research |

MAT 795 | Continuing Registration |

Spring 2021 | |
---|---|

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 | |
---|---|

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 | |
---|---|

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 | |
---|---|

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 | |
---|---|

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 | |
---|---|

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 | |
---|---|

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 | |
---|---|

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 |

Summer 2017 | |
---|---|

Course Number | Course Title |

MAT 590 | Reading and Conference |

MAT 599 | Thesis |

MAT 792 | Research |

Spring 2017 | |
---|---|

Course Number | Course Title |

MAT 444 | Intermediate Abstract Algebra |

MAT 590 | Reading and Conference |

MAT 792 | Research |

MAT 799 | Dissertation |

## Presentations

- Susanna Fishel (speaker) and Matjaz Konvalinka. Enumeration of strong standard marked tableaux. AWM Department Colloquium, University of Arizona (Dec 2013).
- Susanna Fishel. B-Splines in computer graphics. Differential geometry seminar, ASU (Nov 2013).
- Susanna Fishel and Luke Nelson. Maximal Length Chains in the Tamari Lattice. Algebra, number theory, and discrete math seminar, Leibniz University, Hannover, Germany (Jul 2013).
- Susanna Fishel (speaker) and Matjaz Konvalinka. Enumeration of strong standard marked tableaux. AWM Department Colloquium, UC San Diego (Apr 2013).
- Susanna Fishel (speaker) and Matjaz Konvalinka. Enumeration of strong standard marked tableaux. Combinatorics seminar, University of Minnesota (Feb 2013).
- Susanna Fishel and Matjaz Konvalinka. The number of strong, marked, standard tableaux. Leibniz University, Hannover, department colloquium (Nov 2012).
- Susanna Fishel and Matjaz Konvalinka. The number of strong, marked, standard tableaux. ASU Discrete Math Seminar (Oct 2012).
- Susanna Fishel and Luke Nelson. Maximal Length Chains in the Tamari Lattice. Mathfest (Aug 2012).
- Susanna Fishel and Luke Nelson. Maximal Length Chains in the Tamari Lattice. Department Colloquium, University of Ljubljana (Jun 2012).
- Susanna Fishel and Luke Nelson. Maximal Length Chains in the Tamari Lattice. ASU Discrete Math Seminar (Jan 2012).
- Susanna Fishel and Luke Nelson. Maximal Length Chains in the Tamari Lattice. Berkeley Combinatorics Seminar (Nov 2011).
- Susanna Fishel and Luke Nelson. Maximal Length Chains in the Tamari Lattice. University of Quebec at Montreal Combinatorics Seminar (Nov 2011).
- Susanna Fishel, Glenn Hurlbert, Vikram Kamat, Karen Meagher. Extremal set theory and the weak order on the symmetric group. AWM Celebration of Women in Mathematics (Sep 2011).
- John Enyang, Susanna Fishel, Ian Grojnowski. A problem in combinatorial representation theory. AMS Sectional Meeting (Sep 2011).
- Susanna Fishel, Monica Vazirani, Eleni Tzanaki. A bijection between cores and dominant Shi regions (and refinements). Algebra-Geometry-Topology Seminar, University of Melbourne (Aug 2011).
- Susanna Fishel, Monica Vazirani, Eleni Tzanaki. Counting Shi regions with a given separating wall. Conference on FPSAC Reykjavik (Jun 2011).
- Susanna Fishel, Monica Vazirani, Eleni Tzanaki. Counting Shi regions with a given separating wall. University of Washington Combinatorics Seminar (May 2011).
- S. Fishel, M Vazirani. A bijection between dominant Shi regions and core partitions. Conference on Formal Power Series and Algebraic Combinatorics (Aug 2010).
- Susanna Fishel, Monica Vazirani, Eleni Tzanaki. Counting Shi regions with a given separating wall. SIAM Conference on Discrete Math (Jul 2010).
- S. Fishel, M Vazirani. A bijection between dominant Shi regions and core partitions. MIT Combinatorics seminar (Apr 2010).
- Susanna Fishel, Monica Vazirani, Eleni Tzanki. The number of Shi regions with a given separating wall. Discret Math Seminar (Feb 2010).
- S. Fishel. A bijection between dominant Shi regions and core partitions. Combinatorics seminar (Oct 2008).

## Service

- Math reviews, Referee (2011 - Present)
- Math colloquium committee, Co-chair (2009 - 2011)
- Undergraduate curriculum review, Committee member (2009)
- Preparing Future Faculty, Panel member (2009 - Present)
- Discrete math seminar, Organizer and then co-organizer (2008 - Present)
- Math colloquium committee, Co-chair (2008 - Present)
- Formal Power Series and Algebraic Combinatorics 2014, Member of the organizing committee (2013 - 2014)
- Awards committee, member (2013 - 2014)
- Seminar committee, Chair (2013 - 2014)
- American Women in Mathematics- Research Symposium, Special Session co-organizer (2012 - 2013)
- Formal Power Series and Algebraic Combinatorics, Member of the organizing committee (2010 - 2012)
- Formal Power Series and Algebraic Combinatorics, Member of the organizing committee, FPSAC 2011 and 2012 (2010 - 2012)
- Formal Power Series and Algebraic Combinatorics, Member of the organizing committee, FPSAC 2012 (2010 - 2011)
- Formal Power Series and Algebraic Combinatorics, Member of the organizing committee (2009 - 2011)