Research

Research Interests

I’m a fourth year graduate student at the University of Washington studying probability. My advisor is Soumik Pal. My research involves using discrete random trees and random graphs to understand continuum objects connected to other areas of probability, i.e. random matrix theory.

Preprints (reverse chronological)

• A new relationship between Erdős-Rényi graphs and epidemic models and Brownian motion with parabolic drift (June 2020)
• The Gorin-Shkolnikov identity and its random tree generalization (October 2019)

Non-arXiv work

• A Mutli-type Ray-Knight Theorem (December 2019)

Talks (reverse chronological)

• Probability Seminar at the University of Washington. October 5, 2020. “Aldous’s Brownian excursions, critical random graphs and the multiplicative coalescent.”
  • The above talk was part of the Hidden Gems part of the Probability Seminar, where graduate students presented a groundbreaking paper in an area related to their research. My slides can be found here.
• Probability Seminar at the University of Washington. October 28, 2019. “The Gorin-Shkolnikov identity and its random tree generalization.”
• Data driven Problems in Mathematical Finance Session at INFORMS 2019 Annual Meeting. October 22, 2019. “The Gorin-Shkolnikov identity and its random tree generalization.”

Office Hour Information

Office: Padelford C-020

Office Hours: (Summer 2020) Online office hours on zoom - check Canvas for link.

E-mail: djclancy ‘at’ uw ‘dot’ edu

Teaching

Current Teaching

Fall 2020: MATH 307 Introduction to Differential equations - Instructor

• Course Page
• Canvas Page

Past Teaching (reverse chronological)

• Summer B Term 2020: MATH 307 Introduction to Differential Equations - Instructor
  • Course Page
  • Canvas Page
• Spring 2020: MATH 307B Introduction to Differential Equations - Instructor
• Winter 2020: MATH 307F Introduction to Differential Equations - Instructor
• Fall 2019: MATH 394 Probability I - Grader
• Summer 2019: MATH 309A Linear Analysis - Instructor
  • Lecture Notes
• Spring 2019: RA under Soumik Pal (no teaching)
• Winter 2019: MATH 307 B Introduction to Differential Equations - Instructor
  • Course page
  • Canvas page (class restricted)
• Fall 2018: MATH 307 B Introduction to Differential Equations - Instructor
  • Course page
  • Canvas page (class restricted)
• Spring 2018: MATH 125 AC/AD Calculus with Analytic Geometry II - TA
• Winter 2018: RA under Soumik Pal (no teaching)
• Fall 2017: MATH 111 AC/AD - Algebra with Applications - TA
  • Course page
  • Canvas page (class restricted)
• Summer 2017: MATH 445 - Geometry for Teachers - Grader
• Spring 2017: MATH 125 BA/BB - Calculus with Analytic Geometry II - TA
• Winter 2017: MATH 125 BA/BB - Calculus with Analytic Geometry II - TA
• Fall 2017: MATH 125 BA/BB - Calculus with Analytic Geometry II - TA