Anurag Sahay email: [email protected], [email protected] Contact Information Third Year Undergraduate Department of Mathematics and Statistics IIT Kanpur Education Indian Institute of Technology, Kanpur Bachelor of Science (4 year BS) Mathematics and Scientific Computing Cumulative Performance Index (CPI): 8.6/10.0 2011 - present Delhi Public School, R.K. Puram CBSE Board Aggregate in Class XII: 92.4/100 Aggregate in Class X: 92.7/100 Research Interests 2011 2009 • I am broadly interested in all forms of Number Theory. In particular: – Properties of prime numbers – Additive number theory and additive combinatorics – Transcendental number theory – Applications to cryptography • I am also interested in Analysis and Algebra, particularly the parts that have applications to or intersect with Number Theory. Scholastic Achievements • Awarded NTSE Scholarship based on the National Talent Search Exam in 2008. • Awarded Kishore Vaigyanik Protsahan Yojana (KVPY) Fellowship in 2011, funded by the Department of Science and Technology, Govt. of India for excellent students to encourage them to take up research careers in sciences. • Awarded the joint Summer Research Fellowship, 2013 by the Indian Academy of Sciences (IAS), the Indian National Science Academy (INSA) and the National Academy of Sciences, India (NASI) for doing project work in the summer. • Secured All India Rank 1652 in IIT-JEE 2011. • Among State-wise Top 1 % in National Standard Examination in Astronomy (Junior) and National Standard Examination in Junior Science in 2009. • Qualified for participation in Indian National Olympiad in Informatics (INOI-2011) and Indian National Mathematics Olympiad (INMO-2011) on the basis of performance in ZIO and RMO respectively. Relevant Coursework No. ESc 101 MTH 101 MTH 102 MSO 201 ESO 207 MTH 204 MTH 205 MTH 301 MTH 302 MTH 305 MTH 308 MTH 391 MTH 392 MTH 393 MTH 401 MTH 403 MTH 421 MTH 423 MTH 424 MTH 611 MTH 624 PHY 407 CS 640 CS 681 CS 698 CS 746 Course Name Fundamentals of Computing Mathematics I Mathematics II Probability and Statistics Data Structures and Algorithms Abstract Algebra Introduction to Fourier Series Analysis I Mathematical Logic Several Variable Calculus and Differential Geometry Principles of Numerical Computation Undergraduate Project I Undergraduate Project II Undergraduate Project III Theory of Computation Complex Analysis Ordinary Differential Equations Introduction to Continuum Mechanics Partial Differential Equations Algebra-II Differentiable Manifolds and Lie Groups Special and General Relativity Computational Complexity Computational Algebra and Number Theory Introduction to Universal Algebra Riemann Hypothesis and its Applications Grade/Status A A* B B B A ‡# A* A* A # S # † † A C † # † A* † # † # # # - ongoing † - to be completed in the next semester ‡ - audit Grading Scale: A* - 10, A - 10, B - 8, C - 6, D - 4, E - 2, F - 0. A* and A have the same weight, however A* signifies truly outstanding performance, and is awarded sparingly. The course MTH 391 is an S/X (Satisfactory/Unsatisfactory) course and does not have a letter grade or a weight associated with it. Camps, Schools and Workshops Attended Canada/USA Mathcamp Summer, 2011 (www.mathcamp.org) • Summer program in mathematics for motivated high school students, exposing them to undergraduate and graduate level mathematics held at Reed College in Portland, Oregon. • Did week-long classes in complex analysis, multivariable calculus, real analysis and metric spaces, transcendental number theory, topology, Olympiad problem solving and so on. • Interacted with mathematics professors, graduate students, undergraduates and high school students from across the world. Vijyoshi Camp Winter, 2011 (www.vijyoshi.in) • Week-long conference/camp for KVPY fellows, and other motivated science students held at Indian Institute of Science, Bangalore. • Attended talks and presentations by Indian and foreign scientists in the fields of Mathematics, Biology, Chemistry and Physics. Science Academies’ Lecture Workshop Summer, 2013 (www.imsc.res.in/~knr/acadimsc13/) • Two day programme for undergraduate and postgraduate mathematics students funded by the Science Academies of India (IAS, INSA, NASI) held at Institute of Mathematical Sciences, Chennai. • Attended talks and presentations on Aspects, Prospects and History in Mathematics by researchers from IMSc, IIT Madras, CMI etc. Projects Undertaken “Partitions and Rademacher’s Exact Formula” June 2012 - July, 2012 (http://home.iitk.ac.in/~asahay/Projects/iitd2012.pdf) • Supervisor by Dr. Amitabha Tripathi, Department of Mathematics, Indian Insitute of Technology, Delhi. • Month-long reading project (done with Rijul Saini, a student of Chennai Mathematical Institute) on the theory of partitions, a subfield of number theory dealing with the properties of additive partitions of natural numbers. • Studied the basic properties of partition from the book by Apostol called Introduction to Analytic Number Theory. • Read and understood the proof of the remarkable exact formula for the partitions discovered by Rademacher from Apostol’s other book Modular Functions and Dirichlet Series in Number Theory. “The Bombieri-Vinogradov Theorem” May 2013 - July 2013 (http://home.iitk.ac.in/~asahay/Projects/imsc2013.pdf) • Supervised by Dr. Sanoli Gun, Institute of Mathematical Sciences and Prof. R. Balasubramanian, Institute of Mathematical Sciences. • 2 month reading project in number theory funded by the Summer Research Fellowship awarded by the Indian science academies. • Attended lectures on algebraic and analytic number thoery given by research fellows at IMSc and self-studied the methods of analytic number theory, with an eye towards Yitang Zhang’s recent result in the Twin Prime problem. • Read and understood the proof of the Bombieri-Vinogradov theorem, which is essentially an “averaged” version of the Generalized Riemann Hypothesis and is a basic tool in Zhang’s proof. “Fourier Analysis on Finite Abelian Groups” July 2013 - Nov. 2013 (http://home.iitk.ac.in/~asahay/Projects/mth391.pdf) • Supervised by Prof. Shobha Madan, Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur. • Semester project as a course (MTH 391) in the 2013-14/Ist Semester on finite fourier analysis and its applications to number theory. • Read parts of Stein and Shakarchi’s Fourier Analysis: an Introduction pertaining to Finite Abelian Groups, culiminating in the proof of Dirichlet’s theorem on the infinitude of primes in arithmetic progressions. “Arithmetic Progressions in Sets of Integers” Jan. 2014 - April 2014 (http://home.iitk.ac.in/~asahay/Projects/mth392.pdf) • Supervised by Prof. Shobha Madan, Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur. • Semester project as a course (MTH 392) in the 2013-14/IInd Semester on arithmetic progressions in sets of integers with positive density. • Read three proofs of Roth’s theorem on the infinitude of 3-term APs in sets of positive density, including Roth’s original paper. • Explored the dichotomy of “structure” and “randomness” that occurs in Additive Combinatorics in the context of Roth’s theorem. Extracurricular and Co-curicular Activities • Active member of the student community at IIT Kanpur, and very involved in the student government system, the Students’ Gymkhana. • Active member of the Quiz Club, IIT Kanpur and formerly member of Quizzing Society, DPS, RK Puram. • Active member of the English Literary Society. Regularly participate in speaking events such as Parliamentary Debate and Extempore speaking, and fun activities such as Word Games, Dumb Charades and Just a Minute. • Former member of the Mathematical Society, DPS, RK Puram, a club for mathematics enthusiasts and active member of Science Coffeehouse, IIT Kanpur, a discussion group for students interested in science and mathematics. Positions of Responsibility Vice President, Mathematical Society, DPS, RK Puram (2010-11) • Involved in organizing the events of the Mathematical Society held for students of the school. • Helped publish “Mathyard” an annual mathematics magazine published by the Mathematical Society for the school. • Organized DPS RK Puram’s annual mathfest Mathematical Crusade in 2009 and 2010, and helped in its organization in 2008, 2011 and 2012. Academic Mentor, Counselling Service, IIT Kanpur (2012-13) Senior Academic Mentor, Counselling Service, IIT Kanpur (2013-14) (http://www.iitk.ac.in/counsel/) • Responsible for helping academically deficient students at IIT Kanpur with their courses. • Held remedial classes in MTH 101 and MTH 102, the introductory sequence in mathematics (basic real analysis, multivariable calculus, linear algebra and ordinary differential equations) that every undergraduate student at IIT Kanpur has to study. • Tutored individual students having difficulties in their mathematics courses, particularly courses in introductory algebra and analysis. Coordinator, English Literary Society, IIT Kanpur (2013-14) • Responsible for conducting events and organizing competitions of the ELS, including Parliamentary Debate, Dumb Charades, Just a Minute, Word Games and Extempore. • Generally responsible for the functioning of the club, which caters to students who truly enjoy and love the English language. Student Member, SUGC, IIT Kanpur (2012-13 & 2013-14) • One of the four student members (alongwith faculty members from each department) of the Senate Undergraduate Committee (SUGC), a standing subcommittee of the Academic Senate of IIT Kanpur. • Responsible for attending the meetings of the SUGC and putting forward the student opinion on academic matters that affect undergraduate students. • Nominated to this position by the Students’ Senate of IIT Kanpur. Senator, Students’ Gymkhana, IIT Kanpur (2011-12, 2013-14 & 2014-15) (http://students.iitk.ac.in/ss/home/) • One of 8 elected representatives of my batch (UG Y11). • Responsible for attending the meeting of the Students’ Senate, IIT Kanpur, the highest policy-making and legislative body of the Students’ Gymkhana, IIT Kanpur and representing my batch at that forum. Secretary, Students’ Senate, IIT Kanpur (2012-13) (http://students.iitk.ac.in/ss/home/) • Responsible for assisting the Chairman, Students’ Senate in his/her responsibilities, including organizing the meetings of the Students’ Senate and maintaining the website. • Helped maintain the records of the Students’ Senate, including making the minutes and preparing the agenda for Senate meetings. Parliamentarian, Students’ Senate, IIT Kanpur (2013-14) (http://students.iitk.ac.in/ss/home/) • Elected by the Students’ Senate to act as deputy to the Chairperson, Students’ Senate and to chair the meetings of the Senate when he/she is absent. • Responsible for maintaining and interpreting the Rules and Procedures of the Students’ Senate and the Constitution of the Students’ Gymkhana. • Ex-officio Chairman of the Rules and Procedures Committee, a standing subcommittee of the Students’ Senate. Chairperson, Students’ Senate, IIT Kanpur (2014-15) (http://students.iitk.ac.in/ss/home/) • Elected as Chairman of the Students’ Senate to preside over its meetings. • Responsible for ensuring that the decisions taken by the Senate are implemented. • One of the two highest representatives (along with the President, Students’ Gymkhana) of the student body in all aspects of the Institute administration, including the Academic Senate of IIT Kanpur (as an ex-officio special invitee). Hobbies Technical Skills I greatly enjoy reading, especially comic books, fantasy novels and science fiction. I also indulge in recreational mathematics, programming, card and board games, movies and television from time to time, and have a layman’s interest in history and mythology. • Programming Languages: • Languages: • Other Tools: • Operating Systems: C | C++ Hindi | English | French (read) Mathematica | LATEX Linux | Windows

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