sums
STUDEnt UNDERGRAD MATHEMATICS SEMINAR
These weekly seminars were started in the year 2009. The main motive behind these seminars is to give birds eye view of various topics of mathematics. Till now there the club has hosted 120+ of these seminars where speakers of almost every single batch of Integrated MSc, Ph.D. students and, a few guest speakers have given their talks to extremely enthusiastic and supportive audiences.
Have a query?
If you have a query or suggestion regarding SUMS, kindly write to us at
mathematix@niser.ac.in. We encourage everyone to give SUMS talk, meant to be simple and easy to understand, with minimal prerequisites.
Previous sums
120. The N-Queen Problem: Existence of a Valid Configuration - Roshan Mathew Phillip (B22) - Saturday, 15th April 2023 119. Squares, Odd numbers and a triangular descent into sequences. - Aneesh Ukidve and Uma Maheshwari (B22) - Friday, 31st March 2023 118. Why do we like primes? - Aaditya Vicram Saraf & Sandipan Samanta (B21) - Friday, 3 Feb 2023 117. Corner twist of a Rubik's Cube - Anurenj E R & Sumedh Joshi (B21) - Friday, 20 Jan 2023 116. How to write Mathematical Proofs - Shriman Keshri (B18) - Saturday, 12 Mar 2022 115. A Journey with Numbers - Aarjav Jogani (B20) - Saturday, 30 Oct 2021 114. An Introduction to Mathematical Logic-III - Abha Vishwakarma, Gargi Biswas & Kumar Vinayak (B19) - Sunday, 18 Apr 2021 113. An Introduction to Mathematical Logic-II - Abha Vishwakarma, Gargi Biswas & Kumar Vinayak (B19) - Saturday, 10 Apr 2021 112. An Introduction to Mathematical Logic-I - Abha Vishwakarma, Gargi Biswas & Kumar Vinayak (B19) - Saturday, 3 Apr 2021 111. Circles in Metric spaces - Saranya Das (B18) - Friday, 14 Feb 2020 110. Evolutionary Game Theory - Sanaa Qahera Khan (B17) - Friday, 24 Jan 2020 109. Banach-Tarski Paradox 2 - Apratim Choudhury & Ashwin Ayillath Kutteri (B18) - Friday, 17 Jan 2020 108. Banach-Tarski Paradox 1 - Apratim Choudhury & Ashwin Ayillath Kutteri (B18) - Friday, 10 Jan 2020 107. The Toy Story - Karan (B17) - Friday, 25 Oct 2019 106. Fillable Fractions 2 - Pulkit Ojha (B18) - Friday, 23 Aug 2019 105. Fillable Fractions 1 - Pulkit Ojha (B18) - Friday, 16 Aug 2019 104. Mathematical Psychology - Prem Nigam Kar (B17) - Friday, 9 Aug 2019 103. Kakeya Needle Problem - Ashwin Ayilliath Kutteri (B18) - Friday, 2 Aug 2019 Special Farewell Seminar: Failure and Mathematics - Gaurish Korpal (B14) - Friday, 29 Mar 2019 102. Signal Processing and Fourier Analysis - Apratim Choudhury (B18) - 29 Mar 2019 101. Global Positioning System - Santosh Sourav Sahoo (B18) - 22 Mar 2019. 100. Elliptic-curve cryptography - Anagha C (B17) - 8 Feb 2019 99. Knots - Praneet Nandan (B17) - Friday, 1 Feb 2019 98. Google & PageRank - Ashwin Ayilliath Kutteri (B18) - Friday, 25 Jan 2019 97. Golden Ratio in Nature - Diprupa Saha (B18) - Friday, 18 Jan 2019 96. Crystals and Symmetries - Richa Rashmi (B16) - Friday,11 Jan 2019 95. Cantor's Continuum and Transfinite Realm - Nisarg Vyas(B17)- Friday, 20 April 2018 94. Ancient Maximum and Minimum Problems - Jyotirmaya Shivottam(B17)- Friday, 13 April 2018 93. Wall patterns – Himanshu Bimal(B17) – Friday, 23 March 2018 92. Geometric Inequalities – Somil Agarwal (B16) – Friday, 16 March 2018 91. Introduction to Inequalities – Archisman Bhattacharjee (B17) – Friday, 09 March 2018 90. Partitions of Integers – Paresh Singh Arora (B16) – Friday, 09 February 2018 89. 2-adic numbers – Ayush Singh (B17) – Friday, 02 February 2018 88. Pascal’s Triangle – Tanikella Padma Ragaleena (B16) – Friday, 19 January 2018 87. Dividing line segment in given ratio – Khwahish Kushwah (B16) – Friday, 12 January 2018 86. Geometry of Equations – Rutuja Attal (B17) – Friday, 03 November 2017 85. Chebyshev Polynomials – Yathukishore Gv (B16) – Friday, 27 October 2017 84. How many roots does a polynomial have? – Sarada Anoushka (B17) – Friday, 20 October 2017 83. Polynomials of degree 5 – Karan (B17) – Friday, 13 October 2017 82. Polynomials of degree 3 and 4 – Hirkani Abbas Hasnain (B17) – Friday, 06 October 2017 81. Surreal Numbers – Sabyasachi Das (B16) – Friday, 01 September 2017 80. Dots and Boxes – Deepak Kumar (B16) – Friday, 25 August 2017 79. Hex – Sai Satyam Samal (B16) – Friday, 18 August 2017 78. Magic Squares – Srilakshmi Kalathil (B16) – Friday, 11 August 2017 77. Scissors-Congruent Polygons and Polyhedra – Awanish Kumar (B15) – Saturday, 15 April 2017 76. Birth of the notion of Area – Gaurav Swansi (B16) – Saturday, 01 April 2017 75. The Story of Manifolds – Hitesh Kumar (B15) – Saturday, 25 March 2017 74. Elliptic Adventures of a Mathematician in Prison – Gaurish Korpal (B14) – Saturday, 18 March 2017 73. Elliptic Functions – Telikicherla Sai Parthasarathy (B15) – Saturday, 11 March 2017 72. The Legacy of Trigonometric Functions – Singh Sagar (B16) – Saturday, 11 February 2017 71. The story of Dimension – Swaroop Hegde (B15) – Saturday, 04 February 2017 70. Curvature of a Surface – Tanikella Padma Ragaleena (B16) – Saturday, 28 January 2017 69. Vortices Created by Winds – Swati Snigdha Priyadarsini (B16) – Saturday, 21 January 2017 68. The Euler Characteristic – Simran Chourasia (B16) – Saturday, 14 January 2017 67. Hyperreal Numbers – Pritam Laskar (B15) – Saturday, 12 November 2016 66. Permutation Puzzles – Awanish Kumar (B15) – Saturday, 05 November 2016 65. When Life is Linear – Singh Sagar (B16) – Saturday, 29 October 2016 64. Passwords and Hashing – Abhinav Raj (B15) – Saturday, 22 October 2016 63. Monte-Carlo Method – Kumar Sannidhya Shukla (B16) – Saturday, 15 October 2016 62. Game Theory and Strategy – Gaurav Swansi (B16) – Saturday, 08 October 2016 61. Fibonacci Numbers and Recurrence Relations – Abhinav Raj (B15) – Wednesday, 27 April 2016 60. Do non maximal prime ideals exist in the ring of continuous functions? – Vaibhav Pandey (B11) – Tuesday, 22 March 2016 59. Gödel’s Incompleteness Theorems – Swaroop S Hegde (B15) – Friday, 20 November 2015 58. Post’s Machine – Abhinav Raj (B15) – Friday, 13 November 2015 57. Method of Successive Approximation – Awanish Kumar (B15) – Friday, 6 November 2015 56. Conformal Mapping – Hitesh Kumar (B15) – Friday, 30 October 2015 55. Stereographic Projection – Pritam Laskar (B15) – Monday, 26 October 2015 54. Continued Fractions in Disguise – Gaurish Korpal (B14) – Friday, 16 October 2015 53. Theorem of Friends and Strangers – Dibyajyoti Dhananjay Jena (B14) – Friday, 18 September 2015 52. Graphs and Colourings – Rajula Srivastava (B12) – Friday, 11 September 2015 51. Liouville Numbers – Jyotiraditya Singh (B12) – Friday, 4 September 2015 50. Magic and Mathematics – Sagar Shrivastava (B11) – Friday, 28 August 2015 49. Flexagons – Sagar Shrivastava (B11) – Friday, March 20, 2015 48. A brief history of analysis (through the lens of differential equations) – Amudhan K.U. (B10) – Friday, February 6, 2015 47. Mathematics behind Rubix Cube – Palash Dubey (PhD Physics) – Friday, January 23, 2015 46. Celebrating 110th birthday of D. R. Kaprekar – Gaurish Korpal (B14) – Thursday, January 15, 2015 45. The Singular Value Decomposition of a Linear Operator – Aasaimani T (B11) – Monday, August 5, 2013 44. Space filling curves – Sagar Shrivastava (B11) – Tuesday, July 30,2013 43. The linear algebra behind Google’s PageRank – Amudhan K U (B10) – March 18,2013 42. A Cube as (Almost) a Sum of Two Cubes – Sagar Shrivastava (B11) – October 30, 2012 41. Equivalent Formulations of Axiom of Choice – Prajakta Bedekar (B10) – October 16, 2012 40. – Aasaimani T. (B11) – October 9, 2012 39. Schroeder Bernstein Theorem - Sagar Shrivastava (B11) - September 11, 2012 38. The Davenport constant and Zero sum problem – Amudhan K U (B10) – September 4, 2012 37. A Continuous Bijection from l^2 to a subset of l^2 whose inverse is nowhere continuous – Vishal (B09) – Tuesday, November 22, 2011 36. Classifying Integrable Functions – Amudhan K U (B10) – Tuesday, August 23, 2011 35. Abelian forcing subsets of integers - Vishal (B09) – Wednesday, March 23, 2011 34. Convex Functions from R to R – Jitendra Prakash (B08) – Wednesday, 5 January, 2011 33. Special Unitary Group (SU2) – Ankush Goswami (B08) – Wednesday, 27 October, 2010 32. A tour to NonEuclidean Geometry - Jitendra Prakash (B08) - Wednesday, 20 October, 2010 31. Baire Category Theorem - Sneha Chaubey (B07) - Wednesday, 13 October, 2010 30. Maximal Ideals of the continuous functions from the closed unit interval to reals – Ashish Pandey (B07) – Wednesday, 6 October, 2010 29. Rational points on Elliptic Curves - Ankush Goswami (B08) – Wednesday, 1 September, 2010 28. The Fundamental Theorem of Algebra and its topological Proof – Debanshu Ratha (B08) – Wednesday, 25 August, 2010 27. Turing Machines - Jitendra Prakash (B08) - Wednesday, 11 August, 2010 26. Norm of Integer Matrices and Jones Theorem – Issan Patri (Invited Talk) – Wednesday, 28 April, 2010 25. Wedderburn’s Theorem - Rishabh Sareen (B08) - Wednesday, 21 April, 2010 24. On Sum of two squares and four squares – Ankush Goswami (B08) – Wednesday, 7 April, 2010 23. Bernstein Polynomials - Sneha Chaubey (B07) – Wednesday, 31 March, 2010 22. Stone-Weierstrass Approximation Theorem – Jitendra Prakash (B08) - Wednesday, 24 March, 2010 21. Evolution of Integration - Kunda Chowdaiah (Phd Mathematics) – Wednesday, 24 February, 2010 20. The constant ‘e’ – Debanshu Ratha (B08) - Wednesday, 17 February, 2010 19. What is a Real number? – Jitendra Prakash (B08) - Wednesday, 10 February, 2010 18. LUB Axiom of Real Numbers and Its Applications - Ashish K. Pandey (B07) – Wednesday, 03 February, 2010 17. Diagonalisation – Vishal (B09) - Wednesday, 13 January, 2010 16. Group of Motions and Symmetries – Muna Naik (B08) - Wednesday, 04 November, 2009 15. Brouwer’s Fixed point Theorem – Sneha Chaubey (B07) - Wednesday, 21 October, 2009 14. Locating Zeroes of Complex Polynomials - Ankush Goswami (B08) – Wednesday, 14 October, 2009 13. Complex Behaviour in Cellular Automata and similar systems - Palash Dubey (B09) – Wednesday, 16 September, 2009 12*. Categories and categorification – Dr Apoorva Khare, Yale University – Wednesday, 02 September , 2009 11. Euler’s Gem : The Polyhedron Formula – Debanshu Ratha (B08) - Wednesday, 26th August, 2009 10. Primes – Ashish Kumar Pandey (B07) – Wednesday, 19th August, 2009 9. The Mathematical Induction and Equivalent Principles – Jitendra Prakash (B08) – Wednesday, 12th August, 2009 8. Use of Tagged Partition in Elementary Real Analysis – Nischay Mandal (B08) – Wednesday, 29th April, 2009 7. Complex Numbers and Plane Geometry – Sonisilpa Mohapatra (B08) – Wednesday, 22th April, 2009 6. A Few Generalisations of the 2nd Fundamental Theorem of Calculus – G. G. Sharmila Dhevi (B08) - Wednesday, 15th April, 2009 5. The Isoperimetric Problem - Ashish Kumar Pandey (B07) – Wednesday, 8th April, 2009 4. A Game With n Numbers – Sneha Chaubey (B07) - Wednesday, 1st April, 2009 3. Understanding the Infinite (The Cardinal Way) – Debdipto Halder (B08) - Wednesday, 25th March, 2009 2. The “Impossible” Problems in Geometry - Jitendra Prakash (B08) - Friday, 18th February, 2009 1. On The Infinitude of Primes – Debanshu Ratha (B08) – Wednesday, 4th February, 2009