Bio: Dr. Das earned his Ph.D. in mathematics from the Indian Statistical Institute, India which is an institute of National Importance in India and one of most prestigious mathematics and statistics research facilities in the world. Before Joining, Xavier University of Louisiana in the Fall of 2022, he was an AARMS postdoctoral fellow at Dalhousie University, Canada under the mentorship of Prof. Karl Dilcher. Prior to his year at Dalhousie, he spent three more years at the University of Waterloo, Canada as a postdoctoral fellow under the mentorship of Prof. Cameron Stewart. He also spent time at the Institute of Mathematics, University of Pierre and Marie Curie, Jussieu, Paris VI as a visiting postdoc under Prof. Patrice Philippon.

Research Interest: Dr. Das is primarily interested in number theoretic problems. His expertise is in Diophantine Approximation, Diophantine Equations, Recurrence Sequences, and Transcendental Number Theory. He is also interested in elliptic curve cryptography and random number-generating algorithms. He is looking to hire students to do summer research. For more information, please contact him.

Grants and Awards: Recently, he was awarded the prestigious AMS-Simons Research Enhancement Grant from the American Mathematical Society and Simons Foundation. He also got an internal grant from Title III, Xavier University of Louisiana, New Orleans, LA. He was a recipient of one the most prestigious fellowships awarded to promising researchers for postdoctoral research at a Canadian university from the Atlantic Association of Research in Mathematical Sciences (AARMS), Canada. He also received an LIA Indo-French fellowship for Indian researchers given by CNRS, France to visit Universities in France. Apart from the awards he received several grants for travel including organizations like ICTP Italy, CIMPA, and others.

Organization: He is a co-organizer of the Bayou Arithmetic Research Days 3 (BARD 3) conference at Louisiana State University, Baton Rouge in Fall 2023 with Dr. Gene Kopp (LSU) and Dr. Olivia Beckwith (Tulane). He also co-organizes the Mathematics at Xavier at Xavier University of Louisiana, 2022-23. He also co-organized the Number Theory Seminar with Dr. Shane Chern at Dalhousie University, 2021- 2022.

Publications:

1.) Powers in product of terms of Pell’s and Pell Lucas sequences International Journal of Number Theory 11 (2015), no.4, 1259–1274, Bravo J.J., Das P., Guzman S., and Laishram S.

2.) Invitation to integral and rational points on curves and surfaces Rational points, rational curves and entire holomorphic curves on projective varieties, Contemporary Mathematics, 654(2015), Centre Rech. Math. Proc., Amer. Math. Soc., Das P. and Turchet A.

3.) Variants of Erdos-Selfridge superelliptic curves and their rational points Mathematika, 64 (2018), no. 2, 380-386, Das P., Laishram S., and Saradha N.

4.) Cubes in product of terms from an Arithmetic Progression Acta Arithmetica, 184 (2018), no. 2, 117-126, Das P., Laishram S., and Saradha N.

5.) Sums of fifth powers being a perfect power: A special case J. Ramanujan Math. Soc., 35 (1), 1-11, (2020), Das P., Dey P.K., and Rout S.S.

6.) Perfect powers in alternating sum of consecutive powers Glasnik Mathematikcki, Vol 55 (75), 37-53 (2020), Das P., Dey P.K., Maji B., and Rout S.S.

7.) Repdigits in Narayana’s Cows sequence and their consequences Journal of Integer Sequences, 23(2020), No. 8, Art. 20.8.7, Bravo J.J., Das P., and Guzman S.

8.) Perfect powers in sum of three fifth powers Journal of Number Theory, Vol 236, July 2022, Pages 443-462, Das P., Dey P.K., Koutsianas A., and Tzanakis N.

9.) Rational solutions to the Variants of Erdos-Selfridge superelliptic curves International Journal of Number Theory, 19, No. 07, 1707-1744 (2023), Das P., Laishram S., Saradha N., and Sharma D.

Preprints:

1.) Products of Tribonacci Numbers that are the Products of Factorials, Das P. and Saunders J.C.

Recent Seminars:

1. (Plenary Speaker) Application of Multi-Frey-Helleguarch approach to solving a Diophantine equation at ALTENCOA9-2023, Nov 27- Dec 1, 2023, at Universidad del Valle, Cali, Colombia

2. (Invited Speaker) Perfect powers in the sum of three fifth powers, AMS Southeastern Sectional Meeting, October 13-15, 2023, at University of South Alabama, Mobile, AL.

3. (Contributed Speaker) Rational points on superelliptic curves of Erdos-Selfridge type, INTEGERS Conference 2023, May 19, 2023, University of Georgia, Athens, GA.

4. (Invited Speaker) Fermat’s theorem and an overview of Modularity, AMS (UNO Chapter) Math Talk, May 4, 2023, University of New Orleans, New Orleans, LA.

5. (Contributed Speaker) Rational points on superelliptic curves of Erdos-Selfridge type, Southern Regional Number Theory Seminar(SRNTC), March 12, 2023, Louisiana State University, Baton Rouge, LA.

6. (Invited Speaker) Perfect Powers in Power Sums, Feb 28, 2023, LSU Algebra and Number Theory Seminar, LSU, Baton Rouge, LA.

7. (Contributed Speaker) An introduction to linear forms in logarithms: Baker’s theory, Mathematics at Xavier, Jan 31, 2023, Xavier University of Louisiana, New Orleans, LA.

8. (Invited Speaker) A quick tour of the Multi-Frey-Hellegourach approach through a Diophantine equation, Mathematics Colloquium, IIT Indore, India, Dec 16, 2022.

9. (Contributed Speaker) An introduction to linear forms in logarithms: Baker’s theory, Mathematics at Xavier, Nov 9, 2022, Xavier University of Louisiana, New Orleans, LA.

10. (Invited Speaker) Perfect powers in power sums, Ottawa/Carleton Number Theory Seminar, Oct 26, 2022.

11. (Contributed Speaker) An Application of the Multi-Frey-Hellegouarch Approach, Bayou Arithmetic Research Days(BARD 1), Nov 15, 2022, Louisiana State University, LA.

Other Interests: Other than mathematics, he has interests in food, hiking, movies, soccer, and travel. He organized many food events in Canada where as a group they visited and reviewed different restaurants.