Number Theory (algebraic, analytic and computational aspects), Arithmetic of Elliptic Curves, Modular Forms.
I have peripheral interests in problems related to Algebra and Combinatorics, and Diophantine Approximation.
Research Research Projects, Publications, Talks and Workshops.
Teaching
Galois Theory: Lecture Series in SIGTACS , IIT Kanpur.
CS 203B:
Mathematics for Computer Science 3 (Abstract Algebra).
M.S. in Mathematics (PG component of BT-MS Dual degree), Indian Institute of Technology (IIT), Kanpur
2018
B.Tech Computer Science and Engineering (UG component of BT-MS Dual degree), Indian Institute of Technology (IIT), Kanpur, 2018.
Visits
TIFR, Mumbai , India: VSRP-2017 student under Prof N. Fakhruddin .
IISER Pune, India: Visiting student under Dr. Debargha Banerjee.
Contact
638/41,
Chandan Vihar, Faridi Nagar (near Kukrail Reserve Forest Gate)
Lucknow, Uttar Pradesh, India. PIN - 226015
Phone +91 9451055600
email hshukla.math04@gmail.com
You can have a look at some fantastic bolgs by few of the greatest mathematicians of the 21st century Gowers and Tao. Further here is a link to some of the awesome lecture notes and pamflets in mathematics at TIFR. For freshers at IIT Kanpur interested in improving their academic performance, this might be of help.