Mathematician
Research Talks
Plenary & Keynote Addresses

MAA MathFest, Philadelphia, PA, August 202
Parking Functions: Choose your own adventure 
MAA Distinguished Lecture, January 2021
Multiplex juggling sequences and Kostant's partition function 
Nebraska Conference for Undergraduate Women in Mathematics, January 2022
Parking Functions: Choose your own adventure 
COmbinatorial Number Theory And Connected Topics (CONTACT  I), December 2021
Parking Functions: Choose Your Own Adventure 
NAM's 2021 J. Ernest Wilkins Lecture, NAM MathFest, October 2021
Parking Functions: Choose Your Own Adventure 
Women in Combinatorics and Representation Theory, UC Riverside, May 2021
Recent results on Kostant's partition function 
Launchpoint Mathematics Conference, April 2021
Partitions and Juggling: A Story of Unifying Parts and Seeking Balance in Mathematics 
Hispanic Graduate Student Association Talks, Florida State University, April 2021
Partitions and Juggling: A Story of Unifying Parts and Seeking Balance in Mathematics
Video Recording here 
Advancing Student Participation in Research Experiences (ASPiRE) Conference, Florida Gulf Coast University, March 2021
Parking Functions: Choose Your Own Adventure 
Math For All in New Orleans, March 2021
Partitions and Juggling: A Story of Unifying Parts and Seeking Balance in Mathematics 
(Cancelled due to COVID19) MAA Seaway Section Meeting, University of Waterloo,
May 1, 2020
Kostant's Partition Function and Multiplex Juggling Sequences 
Discrete Math Day (DMD) of the NorthEast at Mass Amherst, April 6, 2019
On the (t, r) broadcast domination number of graphs 
Smith College, WiMiN (Women in Math in New England) Conference September 2016
Permutations, peaks, polynomials, and a positivity conjecture
Named Lectures

Lahr Lectures at Dartmouth, TBA

Oberlin College, Roots in STEM Lecture, August 2021
Partitions and Juggling: A Story of Unifying Parts and Seeking Balance in Mathematics 
Harry S. Kieval Lecture, Cornell University, October 2018
Invisible lattice points 
Distinguished Women in Math Lecture, San Francisco State University, November 2016
Permutations, peaks, polynomials, and a positivity conjecture
Invited Talks

Wellesley College Colloquium, April 2022
Multiplex juggling sequences and Kostant's partition function 
Trinity College Math Colloquium, September 2021
Parking Functions: Choose Your Own Adventure 
Talk Math With Your Friends, September 2021
Cocreating open problems in realtime 
Convocation Speaker, NC Governor's School, June 2021
Parking Functions: Choose Your Own Adventure 
Hobart and William Smith Colleges, REU talk, June 2021
Parking Functions: Choose Your Own Adventure 
NYC Combinatorics Seminar, May 2021
Kostant's partition function and magic multiplex juggling sequences 
Math SWAGGER Colloquium, March 2021
Parking Functions: Choose Your Own Adventure 
Iowa State Mathematics Colloquium, February 2021
Kostant's partition function and magic multiplex juggling sequences 
Women in Combinatorics Colloquium, February 2021
Kostant's partition function and magic multiplex juggling sequences 
Gustavus Adolphus College, Mathematics Colloquium, February 2021
Kostant's partition function and magic multiplex juggling sequences 
Purdue University, Mathematics Colloquium, February 2021
Kostant's partition function and magic multiplex juggling sequences 
Carleton College, Mathematics Colloquium, January 2021
Kostant's partition function and magic multiplex juggling sequences 
OURFA^2M^2 Conference, December 2020
Parking Functions: Choose Your Own Adventure 
CMS Winter Meeting, Algebraic Combinatorixx Session, December 2020
Kostant's partition function and magic multiplex juggling sequences 
MSU Combinatorics Colloquium, December 2020
Kostant's partition function and magic multiplex juggling sequences 
St. Olaf College, Graph Theory Talk, November 2020
On the (t,r) broadcast domination number of graphs 
Trinity University, Math Colloquium, October 2020
Invisible Lattice Points 
Cibercoloquio Latinoamericano de Matemáticas, Virtual talk in Spanish, September 2020
Puntos invisibles en una látice 
SIDE Math 2020, Virtual Conference on June 15, 2020
Parking Functions: Choose Your Own Adventure 
Talks by Inspiring Mathematicians, Virtual Speaker Series, May 2020
Invisible lattice points 
(Cancelled due to COVID19) Marquette University, Mathematics Colloquium, April 2020
Recent results on Kostant's partition function 
(Cancelled due to COVID19) 22nd Conference of the International Federation of Operations Research Societies, Graph Theory and Linear Algebra session, June 2020
New results and open problems in (t,r) broadcast domination 
(Cancelled due to COVID19) SIAM Mini Symposium "Advances in Discrete Structures," Portland, Oregon, June 2020
New results and open problems in (t,r) broadcast domination 
Freie Universitat Berlin, Germany, Discrete Geometry Seminar, February 2020
Recent results on Kostant's partition function 
MittagLeffler Institute, Djursholm, Sweden, February 2020
Recent results on Kostant's partition function 
Arizona State University, September 2019, Math Colloquium
Invisible Lattice Points 
Florida Gulf Coast University, Mathematics Colloquium, May 2019
Kostant's Partition Function and Multiplex Juggling Sequences 
University of Washington, Number Theory Seminar, May 2019
Kostant's Partition Function 
University of Hawai'i Manoa, Math Colloquium, February 2019
Kostant's Partition Function 
University of Southern California, Combinatorics Seminar January 2019
Kostant's Partition Function 
University of Southern California, January 2019
Women's Weekend Retreat, Catalina Island
The integer partition function and its generalizations 
University of Kansas, Combinatorics Seminar, January 2019
Kostant's Partition Function 
DePaul University, Math Colloquium, January 2019
Kostant's Partition Function 
Joint Mathematics Meeting January 2019, AMS Special Session on Latinx in Math
Broadcast Domination of Triangular Matchstick Graphs and Triangular Lattice

Latinx in the Mathematical Sciences Conference, Institute for Pure and Applied Mathematics, March 2018
Invisible lattice points

United States Naval Academy, Mathematics Colloquium, February 2018
Invisible lattice points 
Wake Forest University, Special Colloquium, February 2018
Computing weight multiplicities 
SUNY Geneseo, Math Research Lecture, January 2018
Invisible lattice points 
Marquette University, Mathematics Statistics and Computer Science, Special Colloquium, January 2018

Invisible lattice points

Colby College Mathematics Colloquium, January 2018
Partition functions and their generalizations 
JMM San Diego, California, January 2018

AWM Special Session “Noncommutative Algebra and Representation Theory”
Computing weight multiplicities 
AMS Special Session “Open and Accessible Problems for Undergraduate Research”
Kostant’s Partition Function 
AMS Special Session “A Showcase of Number Theory at Liberal Arts Colleges”
Lattice point visibility on generalized lines of sight


Youngstown State University, December 2017
Invisible lattice points 
Wake Forest University, October 2017
Permutations, peaks, polynomials, and a positivity conjecture 
SACNAS National Conference Salt Lake City, Utah, October 2017
– Scientific Symposia “Women Do Math”
Lattice point visibility on generalized lines of sight 
– Scientific Symposia “Latinxs Count!”
Representation theory and counting partitions 
Colby College Mathematics Colloquium, October 2017
Invisible lattice points  Brigham Young University, Focus on Math Speaker Series, October 2017
Invisible Lattice Points 
AMS Sectional Meeting SUNY Buffalo, Buffalo, NY, September 2017
Special Session “Polynomials in enumerative, algebraic, and geometric combinatorics”
The qanalog of Kostant’s partition function and the highest root of the simple Lie algebras 
XXII Coloquio Latinoamericano de Algebra Quito, Ecuador, August 2017
Special Session on Algebraic Combinatorics
The qanalog of Kostant’s partition function and the highest root of the simple Lie algebras 
Union College BEAM program, July 2017
Invisible Lattice Points 
California State University Fresno, June 2017
Kostant’s partition function 
Iowa State University, Mathematicians of Color Alliance (MOCA), Research Seminar, March 2017
A proof of the peak polynomial positivity conjecture 
University of Kentucky, March 2017
– Combinatorics Research Seminar
A proof of the peak polynomial positivity conjecture
– Student Math Club
A hands on exploration of Zeckendorf’s theorem and its generalizations 
Providence College, Mathematics Colloquium, March 2017
Permutations, peaks, polynomials, and a positivity conjecture 
University of WisconsinEau Claire Research Symposium, March 2017
Peaks on graphs 
York University, Applied Algebra Seminar, January 2017
A proof of the peak polynomial positivity conjecture 
XXI Coloquio Latinoamericano de Algebra, Buenos Aires, Argentina, July 2016
Special Session on Algebraic Combinatorics
A proof of the peak polynomial positivity conjecture 
JMM 2017, Atlanta, GA, January 2017
– AMS Special Session “Lie Groups, Discretization, and Gelfand Pairs”
The qanalog of Kostant’s partition function and the highest root of the simple Lie algebras
– AMS Special Session “RE(UF)search on Graphs and Matrices”
Peak sets of graphs 
Union College Mathematics Colloquium, September 2016
A generalization of Zeckendorf’s theorem 
Youngstown State University, Association for Women in Mathematics Speaker Series, March 2016
Two for one: representation theory and analytic number theory 
Smith College, Center for Women in Mathematics, February 2016
On a generalization of Zeckendorf’s Theorem via circumscribed mgons 
Amherst College, Mathematics Colloquium, December 2015
On a generalization of Zeckendorf’s Theorem via circumscribed mgons 
United States Naval Academy, Mathematics Colloquium, April 2015
A Game of Crowns 
California State University Channel Islands, Si Se Puede Event, April 2015
A Game of Crowns 
Purdue University, Number Theory Seminar, December 2014
Generalizing Zeckendorf’s Theorem: The Kentucky Sequence 
AMS Sectional Meeting Greensboro, North Carolina, November 2014 Special Session “Exceptional Groups in Physics, Algebra and Geometry”
On the exceptional Lie algebras and their exponents 
Seminario Interuniversitario de Investigacion de Ciencias Matematicas, Puerto Rico, March 2014
Computational Complexities associated with Konstant’s weight multiplicity formula 
Williams College, Mathematics Colloquium, January 2014
Representation Theory of Lie Algebras and a Connection to Tilings 
Army Research Lab, Adelphi, MD, January 2014
Representation Theory of Lie Algebras and Kostant’s Weight Multiplicity Formula 
Florida Gulf Coast University, Mathematics Colloquium, February 2014
Proofs by contradiction 
Carleton College, Northfield, MN, Mathematics Colloquium, January 2012
Proofs by contradiction 
SACNAS National Conference, Seattle, WA, October 2012 Scientific Symposia “Problems in Number Theory”
Kostant’s weight multiplicity formula and the Fibonacci numbers 
National Security Agency, Mathematics Seminar, Fort Meade, MD, August 2012 Seattle, WA, October 2012
Kostant’s weight multiplicity formula and the Fibonacci numbers 
United States Military Academy, West Point, NY, Mathematics Presentation, February 2012
The fundamental theorem of calculus 
BirminghamSouthern College, Birmingham, AL, Mathematics Presentation, February 2012
Properties of our number system 
Mount Mary College, Milwaukee, WI, Mathematics Presentation, February 2012
Lines and their equations 
Bridgewater State University, Bridgewater, MA, Mathematics Presentation, January 2012
The area under and between curves 
Eureka College, Eureka, IL, Mathematics Presentation, December 2011
Power series
Contributed Talks

Williams College, Faculty Research Seminar, November 2018
Computing Weight Multiplicities 
Williams College, Science Lunch Seminar October 2018
Broadcast Domination of Triangular Matchstick Graphs and Triangular Lattice 
Williams College, Faculty Research Seminar, December 2017
Lattice Point Visibility of Generalized Lines of Sight 
Formal Power Series and Algebraic Combinatorics (FPSAC), London, England, July 2017
A proof of the peak polynomial positivity conjecture 
Williams College, Faculty Research Seminar, April 2017
Kostant’s partition function 
University of Wisconsin Milwaukee 50th Anniversary Celebration, Algebra Session, October 2016
A proof of the peak polynomial positivity conjecture 
Seminario Interuniversitario de Investigacio ́n en Ciencias Matematicas
University of Puerto Rico Humacao, March 2016
The qanalog of Kostant’s partition function and the highest root of the simple Lie algebras 
United States Military Academy, Math Theory Seminar, March 2016
The qanalog of Kostant’s partition function and the highest root of the simple Lie algebras 
JMM Seattle, WA, January 2016
AWM Workshop: Special Session on Algebraic Combinatorics, II
Peak Sets of Classical Coxeter Groups 
United States Military Academy, Mathematics Seminar, December 2015
On a generalization of Zeckendorf’s Theorem via circumscribed mgons 
United States Military Academy, Topology and Algebra Research Seminar April 2015
On a generalization of Zeckendorf’s Theorem via circumscribed mgons 
JMM San Antonio, Texas, January 2015
NAM GranvilleBrownHaynes Session of Presentations by Recent Doctoral Recipients
The adjoint representation and the support of Kostant’s weight multiplicity formula 
University of WisconsinMilwaukee, Mathematics Colloquium, February 2014
The adjoint representation and the support of Kostant’s weight multiplicity formula 
AMS Sectional Meeting Greensboro, North Carolina, November 2014 Special Session on Difference Equations and Applications
Generalizing Zeckendorf’s Theorem: The Kentucky Sequence 
ARL/USMA Technical Symposium, Aberdeen, MD, October 2014
Generalizing Zeckendorf’s Theorem: The Kentucky Sequence 
Midwest Women in Mathematics Symposium, Notre Dame University, South Bend, IN, April 2014
Computational Complexities associated with Konstant’s weight multiplicity formula 
United States Military Academy, Center for Faculty Development, February 2014
Success Indicators in the USMA Advanced Core Mathematics Program 
SACNAS National Conference, Los Angeles, California October 2014 Speaker in “Young Latinas in Math and Computer Science”
Representation Theory of Lie Algebras and a Connection to Tilings 
United States Military Academy, Topology and Algebra Research Seminar, January 2014
Representation Theory of Lie Algebras and a Connection to Tilings 
MAA NJ Sectional Meeting, Rutgers University October 2013
Strengthening Communication Skills through Cadet Created Homework Videos 
United States Military Academy, Topology and Algebra Research Seminar, October 2013
Partition functions and some open problems 
United States Military Academy, Center for Faculty Development Talk, May 2013
Proofs by contradiction 
University of Iowa, Underrepresented Students in Topology and Algebra Symposium, April 2012
On the adjoint representation of sln and the Fibonacci numbers 
JMM Boston, MA, January 2012 AMS Special Session “Trends in Representation Theory”
On the adjoint representation of sln and the Fibonacci numbers 
University of Maryland, Infinite Possibilities Conference, March 2012
Kostant’s weight multiplicity formula and Lie algebras of rank 2 
University of WisconsinMilwaukee, Algebra Seminar, November 2011
Representations of classical Lie algebras whose highest weight is the sum of the simple roots 
Marquette University, Milwaukee, WI, Pure Mathematics seminar, October 2011
Finitedimensional Lie algebras 
University of WisconsinMilwaukee, Algebra Seminar, September 2011
On the adjoint representation of sln and the Fibonacci numbers 
University of WisconsinMilwaukee, Algebra Seminar, September 2010
Some computations with alternating sum formulas 
University of WisconsinMilwaukee, Algebra Seminar, May 2010
Integral Weyl alternation sets of simple Lie algebras of rank 2