$Headshot of Dr.Heather M. Russell$

Dr. Heather M. Russell

Associate Professor of Mathematics

Mathematics Program Coordinator

Profile
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- Grants and Fellowships
  AMS-Simons Research Enhancement Grant for Primarily Undergraduate Institution Faculty (2023-2026)
  
  NSF INCLUDES mini-grant (2018)
  
  NSF conference grant for Advances in Quantum and Low-Dimensional Topology (2016)
  
  NSF FURST mini-grant (2014)
  
  Research travel grants: AWM-NSF (2010, 2015, 2019), AMS (2014), AMS-Simons (2011-2013)
- Awards
  Budapest Semesters in Mathematics Director’s Mathematician in Residence (2023)
  
  University of Richmond sabbatical fellow (2022-2023)
  
  AWM Service Award (2016)
- Presentations
  
  Comparing sl_3 web and three-row Specht bases, AWM Research Symposium, Institute for Mathematics and its Applications, Minneapolis, MN (June 2022).
  
  Reconfiguring graph colorings, RAMS Conference Plenary Talk, Virginia Commonwealth University, Richmond, VA (April 2022).
  
  Reconfiguring graph colorings, MAA Invited Lecture for Students, Joint Mathematics Meetings, Washington D.C. (January 2021).
  
  In praise of diagrams, Knots in Washington Conference Plenary Talk, George Washington University, Washington D.C. (February 2020).
  
  A graph coloring reconfiguration problem, Celebration of the Mind Lecture, University of Northern Colorado, Greeley, CO (October 2019).
  
  In praise of diagrams, UnKnot Conference Plenary Talk, University of Washington - Bothell (July 2019).
  
  Comparing the web and Specht bases for symmetric group representations, AWM Research Symposium, Rice University, Houston, TX (April 2019).
  
  Ineffective sets and region crossing change, Joint Mathematics Meetings, Baltimore, MD (January 2019).
  
  A graph coloring reconfiguration problem, Focus on Math Lecture, Brigham Young University, Provo, UT (October 2018).
  
  Leveling Up: Building Community and Confidence, MAA Mathfest Session on Advancing Women in Mathematics: On the Ground Initiatives, Denver, CO (August 2018).
  
  Region crossing change for links on surfaces, AMS Sectional, Portland State University (April 2018).
  
  Equivalence of edge bicolored graphs on surfaces, AMS Sectional, Washington State University, Pullman, WA, (April 2017).
  
  Which graphs are coloring graphs?, RUMC Plenary Talk, Lee University, Cleveland, TN (February 2016).
  
  Dehn coloring and the dimer model for knots, AMS Sectional, Chicago, IL (October 2015).
  
  Dehn coloring and the dimer model for knots, Colloquium Talk, James Madison University (September 2015).
  
  Knot coloring: A diagrammatic approach to algebraic invariants, MAA Mathfest, Washington D.C. (August 2015).
  
  Which graphs are coloring graphs? CURM/MAA Intermountain Section Meeting Keynote Address, Salt Lake City, UT (March 2015).
  
  Classifying coloring graphs, Joint Mathematics Meetings, San Antonio, TX (January 2015).
  
  An oriented skein module proof of the Frohman-Gelca formula, AMS Sectional, UMBC, Baltimore, MD (March 2014).
  
  Knots, webs, and the symmetric group, Colloquium Talk, US Naval Academy (March 2014).
  
  sl4 web combinatorics, Joint Mathematics Meetings, Baltimore, MD (January 2014).
  
  An oriented skein module proof of the Frohman-Gelca formula, AMS Sectional, Washington University, St. Louis (October 2013).
  
  Oddification of Springer variety cohomology, Conference on Higher Structures, China (August 2012).
  
  Oddification of Springer variety cohomology, Moab Topology Conference, Moab, UT (May 2012).
  
  Series of 5 talks on Springer varieties and knot theory, East China Normal University, Shanghai, China (May 2012).
  
  Springer varieties and knot theory, Laboratoire PPS Seminar talk, L’ Universite Paris Diderot, Paris, France (June 2011).
  
  A twisted dimer model for knots, Knots in Poland, Bedlewo, Poland (July 2010).
  
  Two-row Springer varieties, XIX Oporto Meeting on Geometry, Topology and Physics, Faro, Portugal (July 2010).
  
  Springer varieties from a topological perspective, MSRI (January 2010).
Publications

Journal Articles

* indicates undergraduate coauthor

RSK tableaux and the weak order on fully commutative permutations, with E. Gunawan, J. Pan, and B. Tenner, Electronic Journal of Combinatorics 30.4 (2023).

Block symmetries in graph coloring reconfiguration systems, with P. Bhakta, S. Krehbiel, R. Morris*, A. Sathe* W. Su* and M. Xin*, Advances in Applied Mathematics 149 (2023).

The transition matrix between the Specht and sl_3 web bases is unitriangular with respect to shadow containment, with J. Tymoczko, International Mathematics Research Notices (2022), no. 5, 3371–3416.

Ineffective sets and the region crossing change operation, with M. Clikeman* and R. Morris*, Journal of Knot Theory and its Ramifications 29.03 (2020).

Cut colorings in coloring graphs, with P. Bhakta, B. Buckner*, L. Farquhar*, V. Kamat, and S. Krehbiel, Graphs and Combinatorics, 35.1 (2019):235-248.

Equivalence of edge bicolored graphs on surfaces, with O. Dasbach, Electronic Journal of Combinatorics 25.1 (2018).

Forbidden subgraphs of coloring graphs, with F. Alvarado*, A. Butts*, and L. Farquhar*, Involve: A Journal of Mathematics 11.2 (2018): 311--324.

The transition matrix between the Specht and web bases is unipotent with additional vanishing entries, with J. Tymoczko, International Mathematics Research Notices, rnx 164: 2017.

Dehn coloring and the dimer model for knots, with A. Madaus* and M. Newman*, Journal of Knot Theory and its Ramifications 26.03 (2017): 174—192.

Classifying coloring graphs, with J. Beier, J. Fierson, R. Haas, and K. Shavo, Discrete Mathematics 339.8 (2016): 2100 - 2112.

Chebyshev polynomials and the Frohman-Gelca formula, with H. Queffelec, Journal of Knot Theory and its Ramifications 24.04 (2015): 155-173.

The Robinson-Schensted correspondence and A_2 web bases, with M. Housley and J. Tymoczko, Journal of Algebraic Combinatorics, 42.1 (2015): 293-329.

Oddification of the cohomology of type A Springer varieties, with A. D. Lauda, International Mathematics Research Notices 2014.17 (2014): 4822-4854.

A reduced set of moves on one-vertex ribbon graphs coming from links, with S. Abernathy, C. Armond, M. Cohen, O. Dasbach, H. Manuel*, C. Penn, and N. Stoltzfus, Proc. Amer. Math. Soc. 142 (2014), 737-752.

A twisted dimer model for knots, with M. Cohen and O. Dasbach, Fundamenta Mathematicae 225 (2014), 57-74.

An explicit bijection between semistandard tableaux and non-elliptic sl_3 webs, Journal of Algebraic Combinatorics 38.4 (2013): 851-862.

A topological construction for all two-row Springer varieties, Pacific J. Math 253.1 (2011): 221-255.

Springer representations on the Khovanov Springer varieties, with J. Tymoczko, Math. Proc. Cambridge Philos. Soc. 151 (2011):59-81.

The Bar-Natan skein module of the solid torus and the homology of (n,n) Springer varieties, Geom Dedicata 142 (2009): 71-89.

Additional Publications

A Reconfiguration of Perspective, with B. Barnes* and C. Sales*, Math Horizons 31 (2024), no. 4, p 22-25.

Count Me In: Community and Belonging in Mathematics, Book review, Math Horizons 30 (2023), no. 4, p 29.

Mathematics and Art: Unifying Perspectives, with R. Sazdanovic, Chapter in Handbook of the Mathematics of the Arts and Sciences, Edited by B. Sriraman, Published by Springer, 2021.

DT Codes, Entry in Encyclopedia of Knot Theory, Edited by Adams, Flapan, Henrich, Kauffman, Ludwig, Nelson, Published by Chapman and Hall, 2020.

Knots+Light, with L. J. Eckelman, Art Installation, Washington College, April 2015.

Promoting REU Participation by Students in Underrepresented Groups, with H. A. Dye, Involve 7 (2014), no. 3, 403–411.

The Robinson-Schensted correspondence and A2-webs, with M. Housley and J. Tymoczko, Extended abstract at the 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 861–872, Discrete Math. Theor. Comput. Sci. Proc., AS, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2013.

Springer varieties from a topological perspective, Thesis (Ph.D.)–The University of Iowa. 2009. 86 pp. ISBN: 978-1109-45743-8.

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Dr. Heather M. Russell

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