Susanna Fishel


PHYSICAL SCIENCES CENTER TEMPE, AZ 85287

Mail code: 1804Campus: Tempe

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 longstanding open problem in operator algebras (the KadisonSinger 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 MinnesotaMinneapolis 1993
 Susanna Fishel, Stephen Griffeth, and Elizabeth Manosalva. Unitary representations of the Cherednik algebra: V*homology. Math. Z., 299(34):2215–2255, 2021
 Susanna Fishel, Luc Lapointe, and Mar´ıa Elena Pinto. Hopf algebra structure of symmetric and quasisymmetric functions in superspace. J. Combin. Theory Ser. A, 166:144–170, 2019
 Susanna Fishel, Glenn Hurlbert, Vikram Kamat, and Karen Meagher. ErdosKoRado theorems on the weak Bruhat lattice. Discrete Appl. Math., 266:65–75, 2019
 Susanna Fishel, Elizabeth Mili´cevi´c, Rebecca Patrias, and Bridget Eileen Tenner. Enumerations relating braid and commutation classes. European J. Combin., 74:11–26, 2018
 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).
 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. NSFMPSDMS(7/15/2012  6/30/2017).
 Fishel,Susanna*. The Combinatorics of Higher Dimensional Catalan Polynomials. NSFMPSDMS(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. NSFMPSDMS(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. NSFMPSDMS(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).
Courses
2023 Fall
Course Number  Course Title 

MAT 415  Introduction to Combinatorics 
MAT 492  Honors Directed Study 
MAT 590  Reading and Conference 
APM 792  Research 
MAT 792  Research 
MAT 799  Dissertation 
MAT 512  Introduction to Combinatorics 
MAT 300  Mathematical Structures 
APM 799  Dissertation 
MAT 599  Thesis 
2023 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
APM 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 595  Continuing Registration 
MAT 799  Dissertation 
2023 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 590  Reading and Conference 
MAT 599  Thesis 
APM 799  Dissertation 
MAT 792  Research 
MAT 799  Dissertation 
2022 Fall
Course Number  Course Title 

MAT 492  Honors Directed Study 
MAT 590  Reading and Conference 
APM 792  Research 
MAT 792  Research 
MAT 799  Dissertation 
APM 799  Dissertation 
MAT 599  Thesis 
2022 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
APM 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 595  Continuing Registration 
2022 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 590  Reading and Conference 
MAT 599  Thesis 
APM 799  Dissertation 
MAT 792  Research 
MAT 799  Dissertation 
MAT 591  Seminar 
2021 Fall
Course Number  Course Title 

MAT 492  Honors Directed Study 
MAT 590  Reading and Conference 
APM 792  Research 
MAT 792  Research 
MAT 799  Dissertation 
MAT 591  Seminar 
MAT 243  Discrete Math Structures 
MAT 243  Discrete Math Structures 
APM 799  Dissertation 
MAT 243  Discrete Math Structures 
2021 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
APM 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 792  Research 
MAT 595  Continuing Registration 
2021 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 792  Research 
MAT 799  Dissertation 
MAT 591  Seminar 
MAT 419  Intro to Linear Optimization 
2020 Fall
Course Number  Course Title 

MAT 415  Introduction to Combinatorics 
MAT 492  Honors Directed Study 
MAT 590  Reading and Conference 
MAT 792  Research 
MAT 799  Dissertation 
MAT 591  Seminar 
MAT 512  Introduction to Combinatorics 
MAT 243  Discrete Math Structures 
MAT 599  Thesis 
2020 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
APM 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 792  Research 
MAT 595  Continuing Registration 
2020 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 792  Research 
MAT 799  Dissertation 
MAT 243  Discrete Math Structures 
MAT 591  Seminar 
2019 Fall
Course Number  Course Title 

MAT 492  Honors Directed Study 
MAT 590  Reading and Conference 
MAT 792  Research 
MAT 799  Dissertation 
MAT 591  Seminar 
MAT 599  Thesis 
MAT 243  Discrete Math Structures 
MAT 514  Enumerative Combinatorics I 
2019 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
2019 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 792  Research 
MAT 799  Dissertation 
MAT 419  Intro to Linear Optimization 
MAT 591  Seminar 
 Susanna Fishel (speaker) and Matjaz Konvalinka. Enumeration of strong standard marked tableaux. AWM Department Colloquium, University of Arizona (Dec 2013).
 Susanna Fishel. BSplines 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). AlgebraGeometryTopology 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).
Recent service
 Organizer (with Pamela E. Harris, Rosa Orellana, and Stephanie vanWilligenburg) for Research Community in Algebraic Combinatorics. Virtual workshop from August 2021 through February 2022, sponsored by ICERM. The goal of the workshop is to strengthen the community of women working in algebraic combinatorics. Participants work together in groups online.
 Member of AWM’s Committee on Committees: 20182022, Chair since 2019.
 AWM Travel Grant Committee (2017).
 AMSSimons Travel Grant Committee (20172019).
mental images  computer graphics software R&D 19982007