Mathematical Physics

I could not have asked for a finer boulder.

My Resume/CV

Email:

Laf230@math.rutgers.edu

Office:

Room 626, Hill Center, Busch Campus

About Me

I am a PhD student in the math department at Rutgers University studying mathematical physics. I would like to spend my career helping physicists realize their novel ideas using rigorous mathematics.

Publications

Detecting screens modeled by extensions of Schrödinger operators that generate C_0 contraction semigroups

(2025) Paper on the arrival time problem in quantum mechanics. Contains proof that highly idealized detecting screens must be modeled by absorbing boundary conditions, and discusses how every such model admits a natural detection-time distribution.

Submitted to RMP →

Existence of Schrödinger Evolution with Absorbing Boundary Condition

(2025) Joint work with S.Teufel and R.Tumulka.

Math Phys Anal Geom 28(27) (2025) →

The initial value problem for a massless scalar field and N point-charges in one space dimension

(2025) A rigorous resolution to the radiation-reaction problem in one space dimension.

J Dyn Diff Equat (2025) →

On the relativistic quantum mechanics of a photon between two electrons in 1+1 dimensions

(2025) Joint work with S. Leigh and S. Tahvildar-Zadeh.

Lett Math Phys 115(9) (2025) →

Joint evolution of a Lorentz-covariant massless scalar field and its point-charge source in one space dimension

(2024) Joint work with S. Leigh and S. Tahvildar-Zadeh.

J. Math. Phys. 65(6) (2024) →

Teaching Reviews

Talks

Schrödinger operators that model hard detection

Math-phys seminar at Tubingen University on Aug 15, 2025

Slides →

Point singularities in classical field theory

PDE seminar at University of Innsbruck on Aug 5, 2025

Slides →

Irreversible hard detection of non-relativistic quantum particles

Operator theory seminar at TU Graz on Feb 27, 2025

Slides →

The initial value problem for a massless scalar field and N point-charges in one space dimension

Given at "Kick-off Workshop: A new geometry for Einstein's theory and Beyond" on Feb 25 2025

Slides →

Joint evolution of a Lorentz-covariant scalar field and its point charge in one space dimension

Given at "International Conference for Generalized Functions" on Sep 16 2024

Slides →

On the relativistic Q.M. of N-body electron-photon systems in 1+1 dimensions

Poster for JMM 2020

Poster →

Compton scattering through relativistic Q.M in 2 minutes (JMM 2020)

Video for JMM 2020

Watch →

Opinions

A mathematical argument, is, after all, only organized common sense, and it is well that men of science should not always expound their work to the few behind a veil of technical language, but should from time to time explain to the larger public the reasoning which lies behind their mathematical notation."

George Darwin

Below you will find some of my thoughts and opinions. Read them with a spoonful of salt. I have not made any attempt to write these pages from an objective viewpoint, because something valueable is lost when opinions formed from personal experience are presented in a non-personal way. Rigorous arguments on these subjects are important, but that's what papers are for.