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portfolio
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publications
List Distinguishing Number of Power of Hypercube and Cartesian Powers of a Graph
Published in CALDAM, 2020
This symmetry breaking coloring property is studied for certain special classes of graphs
talks
Characterizing Ahmad pairs in the local structure
Published:
A pair (A,B) of Σ2-sets forms an Ahmad pair if every set strictly below A is also below B. We give a characterization for when a set can be the left half of an Ahmad pair. We also introduce a hierarchy of Ahmad n-pairs in the local structure and characterize them using different notions of join irreducibility. The eventual goal is to come up with a property separating the two halves of an Ahmad pair. This is joint work with Joe Miller and Mariya Soskova
Separating the halves of an Ahmad pair
Published:
Incomparable Σ02 sets (A,B) form an Ahmad pair if every set strictly enumeration below A is also enumeration below B. Extending previous work, in this talk we will characterize the left halves of Ahmad pairs as precisely the low3 and join irreducible sets and show that the right halves cannot be low3 thereby giving a natural separation between the two halves. Slides
teaching
Calculus and Analytic Geometry 1 - MATH221
UW-Madison
TA Fall 23.
Linear Algebra - MATH340
UW-Madison
TA Spring 25
Multivariable Calculus - MATH234
UW-Madison
TA Fall 22, TA Spring 23, Head TA Spring 24.
Preparatory Algebra - MATH96
UW-Madison
Instructor for pre calculus algebra, Fall 24.
Grading Duties
UW-Madison
Grader for graduate logic classes MATH770 (Foundations of Math), MATH771 (Set Theory), MATH773 (Computability Theory) and undergraduate classes MATH522 (Analysis 2), MATH475 (Intro Combinatorics), MATH567 (Modern Number Theory)