Invited Talks:
Delivered an invited talk titled "Number Theory and Cryptography" at Online Guest Lecture Series organized by the Department of Mathematics, Hindi Vidya Prachar Samiti’s Ramniranjan Jhunjhunwala College (Empowered Autonomous), Ghatkopar (W), Mumbai-400 086, July 22, 2025.
Delivered an invited talk titled "Ancient Indian Knowledge in Mathematics" at the Two-Day Workshop for College and University Teachers organized by Centre for Indian and Indigenous Knowledge System and IQAC, Assam Don Bosco University In association with IIT Guwahati and RIWATCH, Arunachal Pradesh, February 21--22, 2025.
Delivered an invited talk titled "Research Philosophies" at the Faculty Development Program organized by Assam Down Town University, Assam, December 13--18, 2024.
Delivered an invited talk titled "Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves" at the XIIIrd Annual Meeting of SSFA-International Conference on Special Functions & Applications at Vivekananda Global University, Jaipur, Rajasthan, November 28--30, 2024.
Delivered a talk titled "Beauty, music, and mathematics" on the occasion of International Day of Mathematics (π-day) at Tihu College, Nalbari, Assam, March 14, 2024.
Delivered a symposia talk titled "Supercharacter theory on F_p^2 and related exponential sums" at the 38th Annual Conference of the Ramanujan Mathematical Society at IIT Guwahati, Assam, December 22--24, 2023.
Delivered a talk titled "Ramanujan, π (pi), and related mathematics" on the National Mathematics Day 2023 at the Department of Mathematics, Cotton University, Guwahati, Assam, December 22, 2023.
Delivered a talk titled "π (pi), continued fraction, and irrationality" (online) on International Day of Mathematics (also known as day) organized by the Department of Mathematics, Bhola Nath College, Dhubri, Assam, March 14, 2023.
Delivered a talk titled "π (pi), irrationality, and infinite series" on International Day of Mathematics (also known as day) organized by the Department of Mathematics, Assam Don Bosco University, Guwahati, March 14, 2023.
Delivered a talk titled "π (pi), continued fraction, and irrationality" (online) on International Day of Mathematics (also known as day) organized by the Department of Mathematics, Assam University, Silchar, March 14, 2022.
Delivered a talk titled "pi-series, Ramanujan, and related supercongruences" (online) on National Mathematics Day organized by the Department of Mathematics, IIT Patna, December 22, 2020.
Delivered a talk titled "Number Theory in Cryptography" (online) at The International Webinar on Fundamental Mathematics organized by the Department of Mathematics, School of Basic Sciences, The Kaziranga University in association with Gonit Sora, August 12{14, 2020.
Delivered a talk titled "Beautiful Mathematics" on the occasion of Ganit Divas held at Maharshi Vidya Mandir-I, Silpukhuri, Guwahati, Assam, India on December 22, 2017.
Delivered a talk titled "Elliptic Curves over Finite Fields" at Glimpses of Mathematical Science held at Cotton College State University, Guwahati, Assam, India on August 24, 2014.
Conference Talks:
Gautam Kalita, On a supercongruence conjecture of Z.-W. Sun, International Conference on Emerging trends in Pure and Applied Mathematics 2022, Department of Applied Sciences, School of Engineering in association with Department of Mathematical Sciences, School of Sciences, Tezpur University, Tezpur, Assam, India, March 12-13, 2022.
Gautam Kalita, On some general VanHamme-type supercongruences, International Conference on Number Theory and Graph Theory (ICNG) 2019, Department of Studies in Mathematics, University of Mysore, Karnataka, India, June 27-29, 2019.
Gautam Kalita, Supercongruences for truncated hypergeometric series, 12th International Conference of IMBIC on Mathematical Sciences for Advancement of Science and Technology, Institute for Mathematics, Bioinformatics, Information Technology and Computer Science, Kolkata, India, December 21-23, 2018.
Gautam Kalita, Beukers-like supercongruences and a generalization of Apery numbers, 20th International Conference of International Academy of Physical Sciences (CONIAPS XX) on Recent advances in physical sciences and future challenges, Osmania University, Hyderabad, India, July 14-16, 2017.
Gautam Kalita, Certain transformation formulas for Gaussian hypergeometric series, 10th International Conference of IMBIC on Mathematical Sciences for Advancement of Science and Technology, Institute for Mathematics, Bioinformatics, Information Technology and Computer Science, Kolkata, December 21-23, 2016.
Gautam Kalita, Certain transformations and values of Gaussian hypergeometric series, The International Conference of The Indian Mathematics Consortium in cooperation with American Mathematical Society (IMCAMS 2016), Banaras Hindu University, Baranasi, Uttar Pardesh, India, December 14-17, 2016.
Gautam Kalita, A family of elliptic curves and Gaussian hypergeometric series, National Conference on Recent Trends of Mathematics and its Applications (RTMA 2015), Rajiv Gandhi University, Arunachal Pradesh, India, November 6-7, 2015.
Gautam Kalita, Hypergeometric functions over Fq and traces of Frobenius for elliptic curves, International Conference The Lagecy of Ramanujan, The University of Delhi, India, December 17-22, 2012.
Involvement in Outreach Programs:
Worked as a Resident Faculty for Number Theory in MTTS, Level-0 at KIIT Bhubneswar organized by MTTS Trust and National Board of Higher Mathematics, May 26-June 21, 2025.
Worked as the local co-ordinator for the MTTS Overture Programme 2025 organized by the Department of Mathematics, Bhattadev University in association with MTTS Trust during January 8--9, 2025.
Contributed as an Adjunct Faculty in Online Fundamental Course in Mathematics (OFCM) 2022 organized by MTTS Trust and National Board of Higher Mathematics, October 16-November 6, 2022.
Contributed as a Resouce Person for MTTS Follow-up course on Linear Algebra organized by MTTS Trust and National Board of Higher Mathematics, and conducted eight (8) sessions, January 31-February 13, 2022.
Contributed as an Assisting Mentor in Online Fundamental Course in Mathematics (OFCM) 2021 organized by MTTS Trust and National Board of Higher Mathematics, September 19-October 10, 2021.
Contributed as a Mentor in MTTS Level 0 2021 organized by MTTS Trust and National Board of Higher Mathematics, June 12-July 5, 2021.
Contributed as a Mentor in Online Fundamental Course in Mathematics (OFCM) 2020 organized by MTTS Trust and National Board of Higher Mathematics, October 04-24, 2020.
Contributed as a Resource Person for the UCG-CSIR NET in Mathematics coaching programme organized by Department of Mathematical Sciences, Tezpur University in 2010 (3 lectures), 2011 (3 lectures), 2013 (6 lectures), and 2014 (6 lectures).