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     Completed papers in chronological order (click on individual paper names to access PDF copies):

1.  Limiting Probability Measures 

 [Appeared in Journal of Logic and Analysis, No. 1, Vol. 20 (2020)]    

2.  Limiting Spherical Integrals of Bounded Continuous Functions

 [Appeared in Journal of Theoretical Probability, No. 4, Vol. 35 (2022)]    

3.   A Nonstandard Proof of de Finetti's Theorem for Bernoulli Random Variables

 [Appeared in Journal of Stochastic Analysis, No. 4, Vol. 1 (2020)]    

4.  Generalizing the de Finetti--Hewitt--Savage Theorem

 [arXiv:2008.08754]    

5.   Large-N Limits of Spaces and Structures**

[Joint with Ambar Sengupta | Appeared in Communications of Pure and Applied Analysis, Issue 4, Vol. 22 (2023)]  

6.   Entropic Exercises around the Kneser--Poulsen conjecture

 [Joint with Gautam Aishwarya, Dongbin Li, Sergii Myroshnychenko, and Oscar Zatarain-Vera | Appeared in Mathematika, Vol. 69, Issue 3 (2023)]    

      Papers in preparation:

7.  Hyperfinite Neural Networks 

[Joint with Peter James, Mufan Li, and Daniel Roy | Presented as a "Short Communication" at ICM 2026 | Click here for a current working draft]  

8.  Limiting Spherical Integrals of Bounded Measurable Functions

 [In preparation | A sequel to paper #2 | Working draft available on request]    

9.  <Untitled paper on spherically symmetric measures in high dimensions>

 [In preparation | | Working draft available on request]    

10.  <Untitled paper on nonstandard mathematics education>

 [In preparation | A spiritual successor to Robert Ely's 2010 article "Nonstandard student conceptions about infinitesimals" | Working draft available on request]