Academic Profile :

I am currently working as a Professor at the Theoretical Statistics and Mathematics Division of the Indian Statistical Institute (ISI). I primarily stay in the Theoretical Statistics and Mathematics Unit at the New Delhi Centre of the institute, but I also spent some times at the Theoretical Statistics and Mathematics Unit at the Headquarters of ISI in Kolkata. I have been in Kolkata several times now, Fall 2014 (June 09 - December 20, 2014), Summer 2011 (May 01 - July 30, 2011), Fall 2008 (August 01 - December 04, 2008), Fall 2018 (July 01 - December 23, 2018) and in Fall 2019 (November 01 - 30, 2020). Majority of the times, my office in ISI, Kolkata is at Room Number 3.4 on the 3^rd floor of the A. N. Kolmogorov Bhavan. When I am in my office in Kolkata,the office phone number is +91 (0)33 2575 3425.

I graduated from University of California, Berkeley with Ph.D. in Statistics in May 2003. My dissertation was on Max-type Recursive Distributional Equations and I worked under the guidance of Professor David J. Aldous. To see a summary of my dissertation click here.

Before joining ISI, I did a two years postdoctoral study (September 2004 - August 2006) at the Chalmers University of Technology, Gothenburg, Sweden, in the Department of Mathematics and Mathematical Statistics, where I worked under Professors Jeffrey Steif, Olle Häaggströom and Johan Jonasson. Earlier (September 2003 - August 2004), I was at the Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, as a postdoctoral member, and worked with Professor Ofer Zeitouni.

In the academic year 2013 - 2014 (September 2013 - May 2014) I visited the Department of Statistics of the University of California, Berkeley as a visiting Associate Professor.

Mathematics Genealogy:

• My Mathematics Genealogy: Click Here (if you are really curious then go up three steps!).
• Mathematics Genealogy Project

Ph.D. Students (in reverse chronological order):

1. Partha Pratim Ghosh

   • Thesis Title: Last Progeny Modified Branching Random Walk.
   • Date of Graduation: 2021 (expected year of graduation).
   • Field: Statistics (Probability Theory).

2. Gursharn Kaur

   • Thesis Title: Negatively Reinforced Balanced Urn Models.
   • Date of Graduation: November 20, 2018.
   • Field: Statistics (Probability Theory).

3. Debleena Thacker

   • Thesis Title: Infinite Color Urn Models.
   • Date of Graduation: June 03, 2015.
   • Field: Mathematics (Probability Theory).

4. Farkhondeh Sajadi

   • Thesis Title: Three Stochastic Models On Discrete Structures.
   • Date of Graduation: July 03, 2013.
   • Field: Statistics (Probability Theory).

M.Stat. (Dissertation) Student:

1. Subhabrata Sen

   • Dissertation Title: De-preferential Attachment Random Graph Models.
   • Year of Dissertation: 2012 - 2013.
   • Specialization: Mathematical Statistics and Probability.
   • Affiliation: Indian Statistical Institute, Kolkata.

Teaching:

Current Assignment:

• Spring 2021: Introduction to Stochastic Processes for the B.Stat. IInd Year at Indian Statistical Institute, Kolkata.

Experiences:

• Fall 2020: Probability Theory III for the B.Stat. IInd Year at Indian Statistical Institute, Kolkata.
• Spring 2020: Random Graphs for the B.Stat. IIIrd Year at Indian Statistical Institute, Kolkata.
• Fall 2019: I did not teach in this semester.
• Spring 2019: Measure Theoretic Probability for the M.Stat. (NB-Stream) Ist Year and MS(QE) Ist & IInd Years at Indian Statistical Institute, Delhi.
• Fall 2018: Martingale Theory for the M.Stat. II^nd year Theoretical Statistics Specialization and Probability Specialization at Indian Statistical Institute, Kolkata.
• Spring 2018: Measure Theoretic Probability for the M.Stat. (NB-Stream) Ist Year and MS(QE) IInd Year at Indian Statistical Institute, Delhi.
• Fall 2017: I did not teach in this semester.
• Spring 2017: Measure Theoretic Probability for the M.Stat. (NB-Stream) Ist Year and MS(QE) IInd Year at Indian Statistical Institute, Delhi.
• Fall 2016: Probability Theory for the M.Stat. I^st Year (NB-Stream) at Indian Statistical Institute, Delhi.
• Spring 2016: I did not teach in this semester.
• Fall 2015: Linear Algebra and Linear Models for the M.Stat. I^st Year (NB-Stream) at Indian Statistical Institute, Delhi.
• Spring 2015: I did not teach in this semester.
• Fall 2014: Advanced Probability for the M.Stat. II^nd year Mathematical Statistics and Probability specialization at Indian Statistical Institute, Kolkata.
• Spring 2014: STAT-134: Concepts of Probability at the Department of Statistics UC, Berkeley.
• Fall 2013: STAT-155: Game Theory at the Department of Statistics UC, Berkeley.
• Summer 2013: Random Graphs (as summer projects by students of M.Stat. I^st and II^nd years) at Indian Statistical Institute, Delhi.
• Spring 2013: Measure Theoretic Probability for the M.Stat. Ist year (NB-Stream) and Ist year Junior Research Fellows at Indian Statistical Institute, Delhi.
• Fall 2012:
  • Percolation for the M.Stat. II^nd year Advance Probability specialization and junior research fellows at Indian Statistical Institute, Delhi.
  • Markov Chains for the M.Stat I^st year (NB-Stream) at Indian Statistical Institute, Delhi.
• Spring 2012: I did not teach in this semester.
• Fall 2011:
  • Measure Theory for the I^st and II^nd years junior research fellows at Indian Statistical Institute, Delhi.
  • Advanced Probability for the M.Stat II^nd year Mathematical Statistics and Probability specialization at Indian Statistical Institute, Kolkata (jointly with Dr. Parthanil Roy)
• Spring 2011: Advanced Analysis for the M.Stat.(Application) II^nd year (optional) and I^st year junior research fellows at Indian Statistical Institute, Delhi.
• Fall 2010: Measure Theoretic Probability for the M.Stat.(Application) II^nd year (optional) and I^st year junior research fellows at Indian Statistical Institute, Delhi.
• Spring 2010: Advanced Probability for the I^st year junior research fellows at Indian Statistical Institute, Delhi.
• Fall 2009: Branching Processes for the II^nd year junior research fellows at Indian Statistical Institute, Delhi.
• Spring 2009: Measure Theoretic Probability for the I,sup>st year junior research fellows at Indian Statistical Institute, Delhi.
• Fall 2008:
  • Random Walks in Random Environment for the I^st and II^nd years junior research fellows at Indian Statistical Institute, Kolkata.
  • Advanced Probability for the M.Stat II^nd year Mathematical Statistics and Probability specialization at Indian Statistical Institute, Kolkata.
• Spring 2008: Linear Models and GLM for the M.Stat. (Applications) I^st year at Indian Statistical Institute, Delhi.
• Fall 2007: Measure Theoretic Probability for the I^st year junior research fellows at Indian Statistical Institute, Delhi.
• Spring 2007: Measure Theoretic Probability for the M.Stat. I^st year at Indian Statistical Institute, Delhi.
• Fall 2002: STAT-134, Section 2 : Concepts of Probability at UC, Berkeley.

Teaching Awards:

• The Outstanding Graduate Student Instructor Award from the GSI Center, Graduate Division, UC, Berkeley on May 2002.
• The Teaching Effectiveness Award from the GSI Center, Graduate Division, UC, Berkeley on May 2002 for my essay on Mathematics : The Universal Language of Science.

Publications :

1. (with Debleena Thacker) A New Approach to Pólya Urn Schemes and Its Infinite Color Generalizations. (accepted for publication in the Annals of Applied Probability) (arXiv link)
2. (with Svante Janson and Debleena Thacker) Strong convergence of infinite color balanced urns under uniform ergodicity. Journal of Applied Probability, 57(3): 853 - 865, 2020.  Abstract  Paper (arXiv link) (Journal Link) (DOI)  
3. (with Gursharn Kaur) Linear de-preferential urn models. Advances in Applied Probability, 50(4): 1176 - 1192, 2018. Abstract  Paper (arXiv link) (Journal Link) (DOI)  
4. (with Debleena Thacker) On Pólya Urn Schemes with Infinitely Many Colors. Bernoulli, 23(4B): 3243 - 3267, 2017.  Abstract  Paper (arXiv link) (Journal Link) (DOI)  
5. (with Farkhondeh Sajadi) On the Expected Total Number of Infections for Virus Spread on a Finite Network. Annals of Applied Probability, 25(2): 663 - 674, 2015.  Abstract  Paper (arXiv link) (Journal Link) (DOI)
6. (with Sanjay Chaudhuri) On Standared Deviation Estimates for Tree Order Restricted Models. Statistics, 48(5): 1122 - 1137, 2014.  Abstract  Paper (arXiv link) (Journal Link) (DOI)
7. (with Debleena Thacker) Rate of Convergence and Large Deviation for the Infinite Color Pólya Urn Schemes. Statist. Probab. Lett., 92: 232 - 240, 2014. Abstract  Paper (arXiv link) (Journal Link) (DOI)
8. (with Siva Athreya and Amites Dasgupta) Random Walks in I.I.D. Random Environment on Cayley Trees. Statist. Probab. Lett., 92: 39 - 44, 2014.  Abstract  Paper (arXiv link) (Journal Link) (DOI)
9. (with Farkhondeh Sajadi) On the Nearest-Neighbor Algorithm for the Mean-Field Traveling Salesman Problem. J. Appl. Prob., 51(1): 106 - 117, 2014. Abstract  Paper (arXiv link) (Journal Link) (DOI)
10. (with Farkhondeh Sajadi) Connectivity Threshold of Random Geometric Graphs with Cantor Distributed Vertices. Statist. Probab. Lett., 82: 2103 - 2107, 2012.  Abstract  Paper (arXiv link) (Journal Link) (DOI)
11. Endogeny for the Logistic Recursive Distributional Equation. Journal for Analysis and its Applications (ZAA), 30(2): 237 - 251, 2011.  Abstract
    Paper (Journal Link) (arXiv link)(DOI)
12. (with Rahul Roy and Anish Sarkar) On the One Dimensional "Learning from Neighbours" Model. Electronic J. Probab., 15: 1574 - 1593 2010.  Abstract Paper (arXiv link) (Journal Link) (DOI)
13. (with Jeffrey Steif and Ádám Timár) On the Cluster Size Distribution for Percolation on Some General Graphs. Revista Mathemática Iberoamericana, 26(2): 529 - 550, 2010.  Abstract  Paper (arXiv link) (Journal Link) (DOI)
14. (with David Gamarnik) Counting Without Sampling: Asymptotics of the Log-Partition Function for Certain Statistical Physics Models. Random Structures and Algorithms, 33(4): 452 - 479, 2008.  Abstract  Paper (arXiv link) (Journal Link) (DOI)
15. (with David Gamarnik) Counting without sampling. New algorithms for enumeration problems using statistical physics. Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms, 17: 890 - 899, 2006.  Abstract  Paper (Proceedings Link) (DOI)
16. A Necessary and Sufficient Condition for the Tail-Triviality of a Recursive Tree Process. Sankhya, 68(1): 1 - 23, 2006.  Abstract  Paper (arXiv link) (Journal Link)
17. (with Ofer Zeitouni) Random Walk in Dynamic Markovian Random Environment. ALEA : Latin American Journal of Probability and Mathematical Statistics, 1: 205 - 224, 2006. Abstract  Paper (arXiv link) (Journal Link)
18. (with David J. Aldous) A Survey of Max-Type Recursive Distributional Equations. Annals of Applied Probability, 15(2): 1047 - 1110, 2005. Abstract  Paper (arXiv link) (Journal Link) (DOI)
19. (with David J. Aldous) How to Combine Fast Heuristic Markov Chain Monte Carlo with Slow Exact Sampling. Electronic Commun. Probab., 6: 79 - 89, 2001.  Abstract  Paper (arXiv link) (Journal Link) (DOI)