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ALL TIMES ARE IN EASTERN (UTC−05:00).
1pm to 1:10pm: OPENING REMARKS
Moderator: David Crombecque (he/him/his), University of Southern California
1:10pm to 2:10pm: PLENARY TALK by BECCA THOMASES (she/her/hers), UC Davis
Title/abstract: How to swim through goo
Non-Newtonian 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 micro-organism swimming in viscoelastic fluids, and understanding the mechanisms that lead to speed changes in complex fluids.
Moderator: Konstantina Trivisa (she/her/hers) University of Maryland
2:10pm to 2:20pm Break
2.20pm to 3.20pm: CONTRIBUTED TALKS SESSION A (Breakout room 1)
Moderator: Alexander Wiedemann (he/him/his) Randolph-Macon College
2:20pm to 2:40pm: ALEX WILSON (they/he), Dartmouth College
Title\Abstract: Diagram-Like Basis for the Multiset Partition Algebra
There's a classical connection between the representation theory of the symmetric group and the general linear group called Schur-Weyl 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 well-known basis indexed by graph-theoretic diagrams which allows the algebra to be understood very visually. I will present an analogous basis for the multiset partition algebra.
2:40pm to 3pm: EZRA GOUVEA (he/him/his), Tufts University
Title\Abstract: Mathematics as Relational Discourse
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.
3pm to 3:20pm: CLAIRE PLUNKETT (she/her/hers), University of Utah
Title\Abstract: Kinetic Monte Carlo Methods for Simulating Brownian Motion with Mixed Boundaries
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 lower-dimensional objects embedded in higher-dimensional space, which is used for homogenization of mixed boundaries among other applications. I will describe several KMC methods I have developed and their application.
2.20pm to 3:20pm: CONTRIBUTED TALKS SESSION B (Breakout room 2)
Moderator: Rustum Choksi (he/him/his) McGill University
2:20pm to 2:40pm: HERMIE MONTERDE (she/her/hers), University of Manitoba
Title\Abstract: Continuous-time quantum walks on graphs
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 continuous-time 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.
2:40pm to 3pm: ROWEL GUNDLACH (he/him/his), Eindhoven University of Technology
Title/Abstract: Predicting confirmation times of Bitcoin transactions
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 Cramer-Lundberg process. This well-studied 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 heavy-traffic situations, as evaluation of the well-known inverse Gaussian distribution is computationally straightforward.
3pm to 3:20pm: DEBBIE BORKOVITZ (she/her/hers), Boston University
Title/Abstract: Failure to Quit: Reflections on how Queer Activism has Influenced the Way I Teach Math
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 co-founded 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.
3:20pm to 3:30pm: LIGHTNING TALKS
Moderator: David Crombecque (he/him/his), University of Southern California
3:20pm to 3:25: AMY BETH PRAGER (she/her/hers), Hale Health
Title: My work with SACNAS/Diversity in STEM Education
3:25pm to 3:30pm: RON BUCKMIRE (he/him/his), Occidental College
Title/Abstract: Intersection of LGBT Identity and Mathematics is Non-Empty
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 non-empty.
3:30pm to 4:30pm: SOCIAL HOUR on GATHER.TOWN
Moderator Claire Plunkett (she/her/hers) University of Utah
1pm to 2pm: PLENARY TALK by LUIS LEYVA (he/him/his), Vanderbilt University
Title/abstract: Exploring Mechanisms and Disruptions of White Cisheteropatriarchy in Undergraduate Mathematics Instruction
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 racial-gendered 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 socially-affirming instructional practices.
Moderator Brian Katz (any) California State University Long Beach
2pm to 2:10pm Break
2:10pm to 3:10pm: CONTRIBUTED TALKS SESSION A (Breakout room 1)
Moderator Freda Li (she/her/hers)
2:10pm to 2:30pm: SHREYA AHIRWAR (she/they), AURORA VO (she/her/hers), Mount Holyoke College
Title\Abstract: Posets and Parking Functions
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.
2:30pm to 2:50pm: ISIAH ZAPLANA (he/him/his), Katholieke Universiteit Leuven
Title\Abstract: Geometric algebra: a novel powerful tool to solve robotic kinematic problems.
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.
2:50pm to 3:10pm: SARAH SEGER (she/her/hers), Concordia College, Moorhead MN
Title\Abstract: 0.5-solvability & closed Seifert surfaces for links
A slice knot was originally defined as a knot that occurs as a cross-section, or slice, of a sphere embedded in 4-dimensional space. Slice knots show up in many areas of mathematics, including low-dimensional 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 0.5-solvability for knots (part of the n-solvable filtration on the knot concordance group defined by Cochran-Orr-Teichner 2003). Sliceness and n-solvability 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 0.5-solvable, and use this result to determine that Arf invariants and Milnor's invariants are not sufficient to classify 0.5-solvable links.
2:10pm to 3:10pm: CONTRIBUTED TALKS SESSION B (Breakout room 2)
Moderator: Alexander Wiedemann (he/him.his) Randolph-Macon College
2:10pm to 2:30pm: ANTHONY BONATO (he/him/his), (Ryerson University)
Title\Abstract: Pursuit-evasion games on graphs
In pursuit-evasion 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 pursuit-evasion 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 pursuit-evasion 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.
2:30pm to 2:50pm: LUCY RYCROFT-SMITH (she/her/hers), University of Cambridge
Title\Abstract: Overlapping identities
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.
2:50pm to 3:10pm: SARAH MACQUEEN (she/her/hers), University College Dublin
Title\Abstract: Predicting bee activity levels under climate change with a mechanistic ordinary differential equation model of thermoregulation
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.
3.10pm to 3.25pm: LIGHTNING TALKS
Moderator Claire Plunkett (she/her/hers) University of Utah
3:10pm to 3:15pm: SEPPO NIEMI-COLVIN (he/him/his), Duke University
Title\Abstract: Invariance of Knot Lattice Homology
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.
3:15pm to 3:20pm: TOMÁS AGUILAR-FRAGA (he/they), Harvey Mudd College
Title\Abstract: Counting ℓ-Interval Parking Functions
A well-studied 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 ℓ-interval 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 ℓ-interval parking functions, while also finding new and interesting connections to objects such as Fubini rankings, Dyck paths, and the Fibonacci numbers.
3:20pm to 3:25pm: MATT MENICKELLI (they/them/theirs), Argonne National Laboratory
Title\Abstract: My (Queer) Life as a Computational Mathematician at Argonne National Laboratory
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..
3:30pm to 4:30pm: SOCIAL HOUR on GATHER.TOWN
Moderator Brian Katz (any) California State University Long Beach
1pm to 2pm: PLENARY TALK by DYLAN THURSTON (he/him/his), Indiana University Bloomington
Title/abstract: Square Tilings: Resistance to Rational Maps
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.
Moderator Mike Hill (he/him/his) UCLA
2pm to 2:10pm BREAK
2:10pm to 3:30pm: PANEL "Past, Present, Future: Constructing Queer Spaces in Mathematics."
Panelists are:
Ron Buckmire (Occidental College, he/him/his),
Frank Farris (Santa Clara University, he/him/his),
Seppo Niemi-Colvin (Duke University, he/him/his),
Emily Riehl (Johns Hopkins University, she/her/hers),
Matt Voigt (Clemson University, he/him/his)
Moderator Alexander Hoover (he/him/his) University of Akron
3.30pm to 3.40pm: CLOSING REMARKS
Moderator Rustum Choksi (He/him/his) McGill University
3.40pm to 4.30pm: SOCIAL HOUR on GATHER.TOWN
Moderator Alexander Hoover (he/him/his) University of Akron
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