VIRTUAL ONLY: Spectra LGBTQ+ in Mathematics Conference
Institute for Computational and Experimental Research in Mathematics (ICERM)
August 18, 2021  August 20, 2021
Your device timezone is . Do you want to view schedules in or choose a custom timezone?
Wednesday, August 18, 2021

12:50  1:00 pm EDTWelcomeVirtual
 Brendan Hassett, ICERM/Brown University

1:00  1:10 pm EDTOpening RemarksVirtual
 David Crombecque, University of Southern California

1:10  2:10 pm EDTHow to swim through gooVirtual
 Speaker
 Becca Thomases, University of California, Davis
 Session Chair
 Konstantina Trivisa, University of Maryland
Abstract
NonNewtonian or complex fluids describe a wide class of materials from biological fluids like mucus and blood to everyday household products like shampoo and paint. There are many problems in physics and biology where understanding motion of (or in) complex fluids is essential for understanding natural phenomena. Tools from mathematical analysis and computational simulations can shed light on these complex problems that are significant in many biological, environmental, and industrial applications. I will describe some recent work on modeling microorganism swimming in viscoelastic fluids, and understanding the mechanisms that lead to speed changes in complex fluids

2:10  2:20 pm EDTBreakCoffee Break  Virtual

2:20  2:40 pm EDT1. DiagramLike Basis for the Multiset Partition AlgebraCONTRIBUTED TALKS SESSION A (Breakout room 1)  Virtual
 Speaker
 Alex Wilson, Dartmouth College
 Session Chair
 Alexander Wiedemann, RandolphMacon College
Abstract
There's a classical connection between the representation theory of the symmetric group and the general linear group called SchurWeyl Duality. Variations on this principle yield analogous connections between the symmetric group and other objects such as the partition algebra and more recently the multiset partition algebra. The partition algebra has a wellknown basis indexed by graphtheoretic diagrams which allows the algebra to be understood very visually. I will present an analogous basis for the multiset partition algebra.

2:20  2:40 pm EDT2. Continuoustime quantum walks on graphsCONTRIBUTED TALKS SESSION B (Breakout room 2)  Virtual
 Speaker
 Hermie Monterde, University of Manitoba
 Session Chair
 Rustum Choksi, McGill University
Abstract
Let $G$ be an undirected graph representing a quantum spin network, where the vertices and edges of $G$ are the qubits and their interactions in the network, respectively. One of the main interests involving quantum spin networks is the transmission of quantum states from one vertex in $G$ to another with a particular level of probability. By assigning a quantum state to a vertex of $G$, the matrix $U(t)=e^{itM}$, where $M$ is a matrix associated to $G$, determines a continuoustime quantum walk on $G$, and governs the evolution of the quantum state in the underlying graph. The entries of $U(t)$ provide information about the probability of quantum state transfer between any two vertices of $G$ at time $t$. Various types of quantum state transfer arise depending on the level probabilty set. In this talk, we discuss the different types of quantum state transfer and their properties, as well as examine how the combinatorial and spectral properties of the graph affect each type of quantum state transfer.

2:40  3:00 pm EDT1. Mathematics as Relational DiscourseCONTRIBUTED TALKS SESSION A (Breakout room 1)  Virtual
 Speaker
 Ezra Gouvea, Tufts University
 Session Chair
 Alexander Wiedemann, RandolphMacon College
Abstract
This talk will be about the span of a conceptual basis for the space of mathematical practice. Using an approach to discourse aligned with feminist and queer theories, I analyze the origin of the Lorenz attractor as a collection of conversations with multiple entities: modeling equations, a computing machine, Lorenz's coding and syntax of the programming language he used, his colleagues who helped him refine his ideas (and refine his metaphor of the “butterfly effect”), and his emotions that told him he was seeing something worth investigating. We will end with a discussion of implications and new approaches to pedagogy.

2:40  3:00 pm EDT2. Predicting confirmation times of Bitcoin transactionsCONTRIBUTED TALKS SESSION B (Breakout room 2)  Virtual
 Speaker
 Rowel Gundlach, Eindhoven university of technology
 Session Chair
 Rustum Choksi, McGill University
Abstract
We study the distribution of confirmation times of Bitcoin transactions, conditional on the size of the current memorypool. We argue that the time until a Bitcoin transaction is confirmed resembles the time to ruin in a corresponding CramerLundberg process. This wellstudied model gives mathematical insights in the mempool behaviour over time. Specifically, for situations where one chooses a fee, such that the total size of incoming transactions with higher fee is close to the total size of transactions leaving the mempool (heavy traffic), a diffusion approximation leads to an inverse Gaussian distribution for the confirmation times. The results are particularly interesting for users that want to make a Bitcoin transaction during heavytraffic situations, as evaluation of the wellknown inverse Gaussian distribution is computationally straightforward.

3:00  3:20 pm EDT1. Kinetic Monte Carlo Methods for Simulating Brownian Motion with Mixed BoundariesCONTRIBUTED TALKS SESSION A (Breakout room 1)  Virtual
 Speaker
 Claire Plunkett, University of Utah
 Session Chair
 Alexander Wiedemann, RandolphMacon College
Abstract
Simulating Brownian motion in domains with mixed boundary conditions using standard methods can be computationally expensive. A class of methods with increased computational efficiency is kinetic Monte Carlo (KMC) methods. These methods break the process of Brownian motion into two or more steps, where each step can be exactly and efficiently simulated. One use of these KMC methods is numerically calculating the capacitance of lowerdimensional objects embedded in higherdimensional space, which is used for homogenization of mixed boundaries among other applications. I will describe several KMC methods I have developed and their application.

3:00  3:20 pm EDT2. Failure to Quit: Reflections on how Queer Activism has Influenced the Way I Teach MathCONTRIBUTED TALKS SESSION B (Breakout room 2)  Virtual
 Speaker
 Debra Borkovitz, Boston University
 Session Chair
 Rustum Choksi, McGill University
Abstract
In 1987, when I was a graduate student at MIT, I proudly pleaded guilty to the charge “failure to quit,” and was sentenced to three days in jail for participating in a mass civil disobedience action at the Supreme Court, protesting the court’s upholding of sodomy laws. Also while I was in graduate school, I cofounded one of the first grassroots organizations in the country addressing domestic violence in queer relationships and participated in many other forms of activism. My queer activist experiences thoroughly inform my work to make math education more just, more accessible, and more joyful. In this talk, I will share some history, some connections, and some musings.

3:20  3:25 pm EDTIntersection of LGBT Identity and Mathematics is NonEmptyLightning Talks  Virtual
 Speaker
 Ron Buckmire, Occidental College
 Session Chair
 David Crombecque, University of Southern California
Abstract
In this talk I will discuss the ways that LGBT identity and applied mathematics intersect. I will also argue that mathematics is a human endeavor and thus the identities of “who does the math” is important. I believe diversity, equity, inclusion and justice (JEDI) efforts in the applied mathematics community should include LGBTQ+ people. I will provide examples that demonstrate the intersection of LGBT identity and the applied mathematics community is nonempty.

3:30  4:30 pm EDTSOCIAL HOUR on GATHER.TOWNCoffee Break  Virtual
Thursday, August 19, 2021

1:00  2:00 pm EDTExploring Mechanisms and Disruptions of White Cisheteropatriarchy in Undergraduate Mathematics InstructionVirtual
 Speaker
 Luis Leyva, Vanderbilt University
 Session Chair
 Brian Katz, California State University, Long Beach
Abstract
This presentation highlights features of undergraduate STEM instruction, including mathematics classroom practices, that preserve and resist white cisheteropatriarchy  the interlocking functions of antiblack racism, misogyny, and cisheterosexism. I begin by employing my research framework of mathematics education as a white, patriarchal space to depict mechanisms of mathematics instruction that reinforce racialgendered inequalities for Black and Latin* students as well as pedagogical disruptions of such oppressive influences. Next, I dovetail these perspectives with findings from my research on the experiences of LGBTQ+ students of color as STEM majors to explore how cisheterosexism figures into mechanisms and disruptions of white cisheteropatriarchy in undergraduate mathematics instruction. I conclude with implications for mathematics departments to inform the development of sociallyaffirming instructional practices

2:00  2:10 pm EDTBreakCoffee Break  Virtual

2:10  2:30 pm EDT1. Posets and Parking FunctionsCONTRIBUTED TALKS SESSION A (Breakout room 1)  Virtual
 Speakers
 Shreya Ahirwar, Mount Holyoke College
 Aurora Vo, Mount Holyoke College
 Session Chair
 Freda Li, United States Military Academy, West Point
Abstract
In 1997, Richard Stanley found a bijection between maximal chains in the Kreweras lattice and parking functions. We investigate this relationship and discuss whether Stanley's bijection is preserved when the Kreweras lattice is restricted to certain induced sublattices. We specifically discuss the properties of bond lattices of paths and cycles. We also consider how the labeling of a graph affects the structure of its bond lattice.

2:10  2:30 pm EDT2. Pursuitevasion games on graphsCONTRIBUTED TALKS SESSION B (Breakout room 2)  Virtual
 Speaker
 Anthony Bonato, Ryerson University
 Session Chair
 Alexander Wiedemann, RandolphMacon College
Abstract
In pursuitevasion games, a set of pursuers attempts to locate, eliminate, or contain the threat posed by an evader in a network. The rules, specified from the outset, greatly determine the difficulty of the questions posed above. For example, the evader may be visible, but the pursuers may have limited movement speed, only moving to nearby vertices adjacent to them. Central to pursuitevasion games is the idea of optimizing certain parameters, whether they are the search number, burning number, or localization number, for example. We report on progress in several pursuitevasion games on graphs and conjectures arising from their analysis. Finding the values, bounds, and algorithms to compute these graph parameters leads to fascinating topics intersecting graph theory, the probabilistic method, and geometry.

2:30  2:50 pm EDT1. Geometric algebra: a novel powerful tool to solve robotic kinematic problems.CONTRIBUTED TALKS SESSION A (Breakout room 1)  Virtual
 Speaker
 Isiah Zaplana, KU Leuven
 Session Chair
 Freda Li, United States Military Academy, West Point
Abstract
In this talk, we will illustrate how geometric algebra provides a compact and easy formulation of the kinematics of serial industrial robots and how we can take advantage of this mathematical framework to develop efficient geometric strategies to solve some fundamental problems in robot kinematics.

2:30  2:50 pm EDT2. Overlapping identitiesCONTRIBUTED TALKS SESSION B (Breakout room 2)  Virtual
 Speaker
 Lucy RycroftSmith, Cambridge Mathematics
 Session Chair
 Alexander Wiedemann, RandolphMacon College
Abstract
Making space for identities to intersect as mathematicians rather than then pulling away from one another in tension is key. Here, I explore what that could look like.

2:50  3:10 pm EDT1. 0.5solvability & closed Seifert surfaces for linksCONTRIBUTED TALKS SESSION A (Breakout room 1)  Virtual
 Speaker
 Sarah Seger, Concordia College
 Session Chair
 Freda Li, United States Military Academy, West Point
Abstract
A slice knot was originally defined as a knot that occurs as a crosssection, or slice, of a sphere embedded in 4dimensional space. Slice knots show up in many areas of mathematics, including lowdimensional topology, complex geometry, and even algebraic geometry. However they are difficult to detect, so it is important to find easily computable approximations of sliceness. One such approximation is algebraic sliceness, an algebraic condition on forms associated to Seifert surfaces of knots. All slice knots are algebraically slice and this condition, unlike sliceness, is completely classified. Algebraic sliceness is also equivalent to 0.5solvability for knots (part of the nsolvable filtration on the knot concordance group defined by CochranOrrTeichner 2003). Sliceness and nsolvability generalize easily to links, but there is no concept of "algebraically slice links." We examine specific generalizations of Seifert forms to links, find a necessary condition for a link to be 0.5solvable, and use this result to determine that Arf invariants and Milnor's invariants are not sufficient to classify 0.5solvable links.

2:50  3:10 pm EDT2. Predicting bee activity levels under climate change with a mechanistic ordinary differential equation model of thermoregulationCONTRIBUTED TALKS SESSION B (Breakout room 2)  Virtual
 Speaker
 Sarah MacQueen, University College Dublin
 Session Chair
 Alexander Wiedemann, RandolphMacon College
Abstract
Being an ecological modeller often feels like pretending to be a biologist, physicist, physiologist… I will give a whirlwind tour of how I have combined results from these disciplines and others to build a mechanistic ODE model of heat exchange and thermoregulation in honeybees and bumblebees. This model can be used to make predictions about the bees’ activity levels, and thus the pollination services they provide, under future climate change scenarios. Bees are poikilothermic, i.e. their body temperature varies with the environment as well as their own internal heat production, so they are highly dependent on weather conditions for foraging activity. Since bees are the top pollinator of crops worldwide, climate change has the potential to have a big effect on pollination services and worldwide food supply.

3:10  3:15 pm EDTInvariance of Knot Lattice HomologyLightning Talks  Virtual
 Speaker
 Seppo NiemiColvin, Duke University
 Session Chair
 Claire Plunkett, University of Utah
Abstract
This talk will give an overview of the invariance of knot lattice homology. In particular, it will cover the knots for which knot lattice defined and what presentation of the knot it uses as input (for it to be invariant over), along with mention of the context motivating knot lattice homology.

3:15  3:20 pm EDTCounting ℓInterval Parking FunctionsLightning Talks  Virtual
 Speaker
 Tomás AguilarFraga, Harvey Mudd College
 Session Chair
 Claire Plunkett, University of Utah
Abstract
A wellstudied combinatorial object is the set of parking functions of length n, vectors representing the number of ways n cars can park on a one way street. One way to generalise these is to consider each car as parking, at most, a fixed interval ℓ away from their preference. We call these ℓinterval parking functions. Scholar Kimberly P. Hadaway has shown that, when ℓ=1, these functions are in bijection with the Fubini rankings of the same length. In this talk, we expand upon this work to present a generalised recursive formula for when ℓ is any natural number. Additionally, we present formulae for the number of nondecreasing ℓinterval parking functions, while also finding new and interesting connections to objects such as Fubini rankings, Dyck paths, and the Fibonacci numbers.

3:20  3:25 pm EDTMy (Queer) Life as a Computational Mathematician at Argonne National LaboratoryLightning Talks  Virtual
 Speaker
 Matt Menickelly, Argonne National Laboratory
 Session Chair
 Claire Plunkett, University of Utah
Abstract
In this lightning talk, I'll simply introduce myself and the scope of my work as a computational mathematician at Argonne National Laboratory. My background is in mathematical optimization, and I work on applications spanning quantum computing, nuclear physics, infrastructure, and doppler reconstruction. I would love to connect with other queer mathematicians..

3:30  4:30 pm EDTSOCIAL HOUR on GATHER.TOWNCoffee Break  Virtual
Friday, August 20, 2021

1:00  2:00 pm EDTSquare Tilings: Resistance to Rational MapsVirtual
 Speaker
 Dylan Thurston, Indiana University
 Session Chair
 Michael Hill, UCLA
Abstract
The very simple geometric construction of tiling a region by squares has many different appearances through out mathematics, from networks of resistors to understanding complex dynamics. We will tour through some of these appearances, from the 19th century to the 21st

2:00  2:10 pm EDTBreakCoffee Break  Virtual

2:10  3:30 pm EDTPast, Present, Future: Constructing Queer Spaces in MathematicsPanel Discussion  Virtual
 Moderator
 Alexander Hoover, The University of Akron
 Panelists
 Ron Buckmire, Occidental College
 Frank Farris, Santa Clara University
 Seppo NiemiColvin, Duke University
 Emily Riehl, Johns Hopkins University
 Matthew Voigt, Clemson University

3:30  3:40 pm EDTClosing RemarksVirtual
 Rustum Choksi, McGill University

3:40  4:30 pm EDTSOCIAL HOUR on GATHER.TOWNCoffee Break  Virtual
All event times are listed in ICERM local time in Providence, RI (Eastern Standard Time / UTC5).
All event times are listed in .
ICERM local time in Providence, RI is Eastern Standard Time (UTC5). Would you like to switch back to ICERM time or choose a different custom timezone?
Schedule Timezone Updated