Susanna Fishel

PHYSICAL SCIENCES CENTER
TEMPE
Associate Professor
Faculty
TEMPE Campus
Mailcode
1804

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

Courses

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
Fall 2016
Course Number Course Title
MAT 415 Introduction to Combinatorics
MAT 442 Advanced Linear Algebra
MAT 512 Introduction to Combinatorics
MAT 590 Reading and Conference
MAT 599 Thesis
MAT 792 Research
MAT 799 Dissertation
Summer 2016
Course Number Course Title
MAT 599 Thesis
MAT 792 Research
MAT 799 Dissertation
Spring 2016
Course Number Course Title
MAT 590 Reading and Conference
MAT 598 Special Topics
MAT 599 Thesis
MAT 792 Research
MAT 799 Dissertation
Fall 2015
Course Number Course Title
MAT 243 Discrete Math Structures
MAT 415 Introduction to Combinatorics
MAT 512 Introduction to Combinatorics
MAT 590 Reading and Conference
MAT 599 Thesis
MAT 792 Research
MAT 799 Dissertation
Summer 2015
Course Number Course Title
MAT 599 Thesis
MAT 792 Research
Spring 2015
Course Number Course Title
MAT 590 Reading and Conference
MAT 599 Thesis
MAT 792 Research
MAT 799 Dissertation
Fall 2014
Course Number Course Title
MAT 590 Reading and Conference
MAT 592 Research
MAT 599 Thesis
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)