A. V. Douglas Distinguished University Professor and Queen's Research ChairE-mail:murty at mast dot queensu dot ca |

Math/Stat Department Home Page

Rota's Ten Lessons

Office: Jeffery Hall, Room 517Office Hours: By appointmentOffice Phone: (613) 533-2413Office FAX: (613) 533-2964 |
Department of Mathematics, Jeffery Hall, 99 University Avenue, Queen's University, Kingston, Ontario, K7L 3N6, Canada |

Math 381: (Fall Semester)Mathematics with a Historical Perspective Text:C.B. Boyer, A History of Mathematics, 3rd editionMon. 8.30-9.20am Stirling ATue. 10.30-11.20am Stirling AThu. 9.30-10.20am Stirling A |
Phil 410/810: (Fall Semester)Topics in the History of Philosophy: Indian Philosophy Texts:
M. Ram Murty, Indian Philosophy: An introduction, Broadview Press, 2012.S. Radhakrishna and C. Moore, A sourcebook of Indian philosophy, Princeton University Press, 1967 Swami Vivekananda, Yogas and other works, edited by Swami Nikhilananda, Ramakrishna-Vivekananda Center, New York, 1957 Time: Mon., 2.30pm-5.30pm,Place:Jeffery Hall 110. |

Introduction to the Circle Method |
A Second Course in Analysis |
Hilbert's Tenth Problem |
Panorama Lectures: Ramanujan Conjectures and Zeta Functions |
Problems in the Theory of Modular Forms |
Transcendental Numbers |
Indian Philosophy: An Introduction |
The Mathematical Legacy of Srinivasa Ramanujan |
A First Course in Graph Theory and Combinatorics |
Automorphic L-functions |

(with Kaneenika Sinha) American Mathematical Society, 2023 |
IMSC Lecture Notes - 4 2020 |
(with B. Fodden) American Mathematical Society, 2019 |
Ramanujan Mathematical Society, 2018 |
(with M. Dewar & H. Graves), IMSc Lecture Notes, 2015 |
(with P. Rath), Springer, 2014. |
Broadview Press, 2013. |
(with V. Kumar Murty), Springer, 2012. errata |
(with S. Cioaba), HBA, 2009 errata |
(with J. Cogdell and H. Kim), Fields Inst./AMS, 2009. |

Problems in Analytic Number Theory |
Intro. to sieve methods and their applications |
Problems in Algebraic Number Theory, 2nd Ed. |
Introduction to p-adic analytic number theory, |
Non-vanishing of L-functions and applications |

Springer, 2nd edition, 2008 | (with A. Cojocaru)
Cambridge Univ. Press, 2006 |
(with J. Esmonde), Springer 2005 |
International Press, 2002 | (with V. Kumar Murty) Balaguer Prize Book Birkhauser, 1997 |

More research description can be found at CICMA

- Ph.D. (MIT, 1980) (Advisor: Harold Stark)
- Coxeter-James Prize, 1988
- Fellow of the Royal Society of Canada (1990 - )
- E.W.R. Steacie Fellow (1991-1993)
- J.H.H. Nesbitt Lecturer, 1992
- Kenneth Ireland Lecturer, 1993
- Balaguer Prize (1996) jointly with V. Kumar Murty (see August 1996 issue of the Notices of the AMS)
- Killam Research Fellow (1998-2000)
- Jeffery-Williams Prize, 2003
- Queen's Research Chair, 2002
- Fellow of the Fields Institute, 2003
- Queen's Research Prize, 2003
- Adjunct Professor, McGill University (Montreal), Harish-Chandra Research Institute (Allahabad), Institute for Mathematical Sciences (Chennai), Chennai Mathematical Institute (Chennai), Indian Institute of Technology (Mumbai), Tata Institute for Fundamental Research (TIFR, Mumbai), Indian Institute for Scientific Education and Research (Bhopal), Indian Institute for Scientific Education and Research (Mohali).
- Cross-appointment to the Department of Philosophy
- Elected Fellow of the National Academy of Sciences (India), 2007.
- Elected Fellow of the Indian National Science Academy (INSA), 2008.
- Elected Fellow of the American Mathematical Society, 2012.
- Simons Fellowship, 2013-2014.
- Award for Excellence in Graduate Student Supervision, 2018.
- Elected Fellow of the Canadian Mathematical Society, 2018.
- CRM-Fields-PIMS Prize, 2024.

- Ian Miyamoto, Primes and elliptic curves, M.Sc. thesis, McGill University, 1988.
- David Clark, L-series and ranks of elliptic curves, M.Sc. thesis, McGill University, 1988. (clark@math.byu.edu)
- David Clark, The Euclidean algorithm for Galois extensions of the rational numbers, Ph.D. thesis, McGill University, 1992.(clark@math.byu.edu)
- Tomasz Stefanicki, Non-vanishing of L-functions attached to automorphic representations of GL(2), Ph.D. thesis, McGill University, 1992.
- Francesco Pappalardi, On Artin's conjecture for primitive roots, Ph.D. thesis, McGill University, 1993. (pappa@mat.uniroma3.it)
- Chantal David, Supersingular Drinfeld modules, Ph.D. thesis, McGill University, 1993. (chantal@discrete.concordia.ca)
- Ashwaq Hashim, Application of Lindelof hypothesis to cusp forms, M.Sc. thesis, McGill University, 1993. (ucakash@ucl.ac.uk)
- Yuanli Zhang, Some analytic properties of automorphic L-functions, Ph.D. thesis, McGill University, 1994.(yz@math.purdue.edu)
- Sridhar Narayanan, Selberg's conjectures, M.Sc. thesis, McGill University, 1994.(sri@esankya.com)
- Keldon Drudge, The ABC Conjecture, M.Sc. Thesis, McGill University, 1995.
- Minatsu Yamaji, Applications of Brauer Induction to Artin L-functions, M.Sc. Thesis, McGill University, 1996.
- Francesco Sica, The order of vanishing of L-functions at the center of the critical strip, Ph.D. thesis, McGill University, 1998.
- Satya Mohit, The Wieferich criterion, the ABC conjecture and Shimura's correspondence, M.Sc. thesis, Queen's University, 1998.
- Yu-Ru Liu, The Turan sieve and some of its applications, M.Sc. thesis, Queen's University, 1998.(yrliu@math.harvard.edu)
- Filip Saidak, On conjectures about the distribution of primes in various sequences, M.Sc. thesis, Queen's University, 1998.(filips@math.ucalgary.ca)
- Malcolm Harper (PhD, McGill), A proof that $Z[\sqrt{14}]$ is Euclidean, Ph.D. thesis, McGill University, 2000.
- Steven Pope, On Problems of Cryptography: Primality testing and Factoring integers, M.Sc. thesis, Queen's University, 2000.
- Filip Saidak, On non-abelian generalizatons of the Erdös-Kac theorem, Ph.D. thesis, Queen's University, 2001.
- Alina Cojocaru, Cyclicity of Elliptic Curves modulo p, Ph.D. thesis, Queen's University, 2002.
- Kaneenika Sinha, Generalized Hurwitz zeta functions, (MSc, Queen's, 2002).
- Talia Borodin, Primality Testing and Factoring, (M.Sc., Queen's, 2003).
- Benjamin Ju, Elementary Proofs of the Prime Number Theorem, (M.Sc., Queen's, 2003).
- Tim Wotherspoon, Analysis of the Narayana-Fermat Factoring Algorithm(M.Sc., Queens, 2004).
- Jeanine Van Order, Counting Integral Ideals in an Algebraic Number Field,(M.Sc., Queen's, 2005).
- Sebastian Cioaba, Eigenvalues, Expanders and Gaps between Primes, (Ph.D., Queen's, 2005).
- Kaneenika Sinha, Effective Equidistribution of Eigenvalues of Hecke Operators, (Ph.D., Queen's, 2006).
- Brandon Fodden, Diophantine equations and the Generalized Riemann hypothesis (Ph.D., Queen's, 2007).
- Marilyn Reece Myers, Variations of Kummer's Conjecture (Ph.D., Queen's, 2007).
- Chester Weatherby, Transcendence of various infinite series and applications of Baker's theorem (Ph.D., Queen's, 2009).
- Robert Rundle, Generalized Pythagorean Triples (M.Sc., Queen's, 2007).
- Adam Felix, The order of a mod p and Artin's conjecture(M.Sc., Queen's, 2007).
- Andrew Droll, Properties of Ramanujan graphs (M.Sc., Queen's, 2008).
- Marc Papais, Graph spectra and the Ihara zeta function: implications and connections (M.Sc., Queen's, 2008).
- Carpio Cheng, Grimm's conjecture and a Gaussian analogue, (M.Sc. Queen's, 2009).
- Adam Felix,, Variations on Artin's primitive root conjecture (Ph.D., Queen's, 2011)
- Robert Rundle, Generalization of Ruderman's problem to imaginary quadratic fields (Ph.D., Queen's, 2012)
- Andrew Droll,, Variations of Li's criterion for an extension of the Selberg class (Ph.D., Queen's, 2012).
- Ryan Case, Ramanujan-Fourier series and applications (M.Sc., Queen's, 2013).
- Hector Pasten, Arithmetic problems around the abc conjecture and connections with logic, (Ph.D., Queen's, 2014).
- Siddhi Pathak, The Chowla problem and its generalizations, (M.Sc., Queen's, 2015)
- Kannappan Sampath , The saddle point method and its applications to number theory(M.Sc., Queen's, 2015)
- Akshaa Vatwani, Higher rank sieves and applications(Ph.D., Queen's, 2016).
- Arpita Kar, Representation of numbers by quaternary quadratic forms, (M.Sc. Queen's, 2016).
- Peng-Jie Wong, Character theory and Artin L-functions (Ph.D., Queen's, 2017).
- Francois Seguin, The two-variable Artin conjecture and elliptic analogues (Ph.D., Queen's, 2018)
- Siddhi Pathak, Special values of L-series, periodic coefficients, and related themes (Ph.D., Queen's, 2019).
- Christopher Zajner, An Encounter between East and West: The notion of truth in William James and Swami Vivekananda (M.A. Philosophy, Queen's, 2020).
- Paul Wilson, Lattices, codes and sphere packing problems (M.Sc., Queen's, 2020).
- Arpita Kar, Normal order of certain arithmetic functions and new analogues of the Erdos-Kac theorem (Ph.D., Queen's, 2020).
- Benoit Urvari, Cicero's Search for Yoga, (M.A. Philosophy, Queen's, 2022).