Joshua Marsh
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4nd year graduate student in mathematics at Georgia Tech
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Areas of interest: probability, combinatorics, percolation
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<b>Publications</b>:
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(with N. Williams) <a href="https://cs.uwaterloo.ca/journals/JIS/VOL25/Williams/williams9.pdf">Nesting Nonpartitions</a>, <i>Journal of Integer Sequences</i>, 2022
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(with P. Cranford, A. Dochtermann, E. Haithcock, S. Oh, A. Truman) <a href="https://doi.org/10.37236/9849">Biconed Graphs, Weighted Forests, and h-Vectors of Matroid Complexes</a>, <i>Electronic Journal of Combinatorics</i>, 2021
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<b>Teaching</b> - (as a TA unless otherwise noted):
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Fall 2020 - Math 1551 - Differential Calculus
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Spring 2021 - Math 2603 - Intro to Discrete Mathematics
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Summer 2021 - Math 1553 - Intro to Linear Algebra
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Fall 2021 - Math 2551 - Multivariable Calculus
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Spring 2022 - Math 1712 - Survey of Calculus
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Summer 2022 - Math GRE Subject Test Prep Course - Instructor
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Fall 2022 - Math 1552 - Integral Calculus
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Spring 2023 - Math 2552 - Differential Equations
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Summer 2023 - Summer Edge Program: Algebra
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<b>Mentoring</b> - mentored in directed reading program with undergraduate students in various topics:
<p></p>(Fall 2020 - Spring 2021) - The probabilistic method
<p></p>(Spring 2021) - Generating functions
<p></p>(Fall 2021) - Lie groups and Lie algebras
<p></p>(Spring 2022) - Lie algebras (with 2 mentees)
<p></p>(Spring 2023) - Graph neural networks (with 2 mentees)
<p></p>(Spring 2024) - Commutative algebra