Mathematician
Research Talks
Plenary & Keynote Addresses
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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 COVID-19) 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
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Lahr Lectures at Dartmouth, TBA
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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
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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
Co-creating open problems in real-time -
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 COVID-19) Marquette University, Mathematics Colloquium, April 2020
Recent results on Kostant's partition function -
(Cancelled due to COVID-19) 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 COVID-19) 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 -
Mittag-Leffler 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
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Latinx in the Mathematical Sciences Conference, Institute for Pure and Applied Mathematics, March 2018
Invisible lattice points
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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
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Invisible lattice points
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Colby College Mathematics Colloquium, January 2018
Partition functions and their generalizations -
JMM San Diego, California, January 2018
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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
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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 q-analog 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 q-analog 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 Wisconsin-Eau 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 q-analog 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 m-gons -
Amherst College, Mathematics Colloquium, December 2015
On a generalization of Zeckendorf’s Theorem via circumscribed m-gons -
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 -
Birmingham-Southern 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
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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 q-analog of Kostant’s partition function and the highest root of the simple Lie algebras -
United States Military Academy, Math Theory Seminar, March 2016
The q-analog 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 m-gons -
United States Military Academy, Topology and Algebra Research Seminar April 2015
On a generalization of Zeckendorf’s Theorem via circumscribed m-gons -
JMM San Antonio, Texas, January 2015
NAM Granville-Brown-Haynes Session of Presentations by Recent Doctoral Recipients
The adjoint representation and the support of Kostant’s weight multiplicity formula -
University of Wisconsin-Milwaukee, 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 Wisconsin-Milwaukee, 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
Finite-dimensional Lie algebras -
University of Wisconsin-Milwaukee, Algebra Seminar, September 2011
On the adjoint representation of sln and the Fibonacci numbers -
University of Wisconsin-Milwaukee, Algebra Seminar, September 2010
Some computations with alternating sum formulas -
University of Wisconsin-Milwaukee, Algebra Seminar, May 2010
Integral Weyl alternation sets of simple Lie algebras of rank 2