1. Invited speaker at the 5-day workshop at BIRS (the Banff International Research Station inBanff, Canada) in 2013 on Mathematics of Communications: Sequences, Codes and Designs, to be held in 2013.
2. Invited to attend the Trends in Coding Theory, workshop to be held in the Monte Verita’ Conference Center (Switzerland), Oct. 28 to Nov. 2, 2012.
3. Invited speaker at the Workshop on Coding Theory, Nov 13-18, 2011, Schloss Dagstuhl - Leibniz Center for Informatics, Germany.
4. Invited participant of the First NSF-sponsored Indo-US Workshop on Developing a Research Agenda in Pervasive Communications and Communications Collaboration (PC3), March 9- 11, 2011, I.I.T. Delhi India.
5. Invited to participate as Visiting Professor at the Centre Interfacultaire Bernoulli (CIB) at the Ecole Polytechnique F´ed´erale de lausanne (EPFL) during their semester on “Combinatorial, Algebraic and Algorithmic Aspects of Coding Theory” for the period Sep. 4-18, 2011.
6. Invited speaker at the Information Theory and its Applications Workshop, Feb 6-11, 2011,University of California, San Diego.
7. Invited speaker at the International Conference on Commutative Algebra and Algebraic Geometry (CAAG), December 6-10, 2011, Indian Institute of Science, Bangalore.
        P. Vijay Kumar, “Algebraic Approaches to Reliable Source Compression and Distributed Storage”.
8. P. Vijay Kumar and Neelesh B. Mehta, “Cooperative Communications: Theory and Practice,” Tutorial presented at the Eighth International Conference on Signal Processing and Communications (SPCOM 2010), Indian Institute of Science, Bangalore, July 18, 2010.
9. P. Vijay Kumar, one of three invited talks delivered at the 3rd International Workshop on the Arithmetic of Finite Fields, (WAIFI 2010), Istanbul, Turkey, June 27-30, 2010.
10. P. Vijay Kumar, 2010 Information Theory and its Applications Workshop, University of California, San Diego, Jan. 31- Feb. 5, 2010.
11. P. Vijay Kumar, “A PIR-based Intrusion Detection Algorithm,” Workshop on Sensing for Intrusion Detection with Wireless Sensor Networks, IISc Bangalore, April 16, 2009.
12. P. Vijay Kumar, talk on “Sequences,” Workshop on Sequence Design and Its Applications in Communications and Cryptography, Melbourne, December 4-6, 2008.
13. P. Vijay Kumar, “Coding for Wireless Networks,” Invited tutorial delivered at TENCON 2008, November, 18-21, 2008, Hyderabad.
14. P. Vijay Kumar, invited talk to be delivered at the 2010 Information Theory and its Applications Workshop, University of California, San Diego, Jan. 31- Feb. 5, 2010.
15. P. Vijay Kumar, “Low-Correlation Sequences,” invited keynote talk at the National Seminar on Coding and Cryptography, delivered S. H. College, Kochi, October 17, 2008.
16. V. U. Reddy and P. Vijay Kumarr, “MIMO Communication”, invited tutorial delivered at Managing Complexity in a Distributed World (MCDES) 2008 (An IISc Centenary Conference), May 27-31, 2008, IISc Bangalore.
17. K. Sreeram , S. Birenjith, P. Vijay Kumar, “Multi-hop Cooperative Wireless Networks: Diversity Multiplexing Tradeoff and Optimal Code Design,” Information Theory and Applications Workshop , UCSD, Feb 2008.
18. P. Vijay Kumar, “Meeting Welch Outside the Circle,” presented at the Helleseth Symposium, on the Occasion of Tor Helleseth’s 60th Birthday, Nov. 21-22, 2007, Bergen, Norway.
19. Invited speaker at the NSF Workshop: Bridging the Gap between Wireless Networking Technologies and Advances at the Physical Layer, August 27, 2007.
20. Reza Omrani, Pankaj Bhambhani and P. Vijay Kumar, “ Sequences for Phase-Encoded Optical CDMA, ” Sequences, Subsequences, and Consequences, International Workshop (SSC 2007), Los Angeles, CA, USA, May 31 - June 2, 2007.
21. P. Vijay Kumar, K. Vinodh, M. Anand, P. Elia, “Diversity-Multiplexing Gain Tradeoff and
22. DMT-Optimal Distributed Space-Time Codes for Certain Certain Cooperative Communication Protocols: Overview and Recent Results,” Information Theory and Applications Workshop, UCSD, Feb 2007.
23. P. Vijay Kumar “Cooperative Diversity in Fading Wireless Networks Through Distributed Space-Time Codes,” 13th National Conference on Communications (NCC 2007), January 26-28, 2007, Indian Institute of Technology, Kanpur.
24. P. Vijay Kumar, Petros Elia and K. Vinodh, “Efficient Space-Time Codes from Cyclic Division Algebras,” Miltiary Communications Conference (MILCOM 2006), Washington DC, 2006, Oct. 23-25.
25. Reza Omrani, P. Vijay Kumar: Codes for Optical CDMA SETA 2006, pp.34-46.
26. P. Vijay Kumar, “Achieving the D-MG and DMD Tradeoffs of MIMO Fading Channels, ” Workshop on Information Theory & Applications, University of California San Diego, La Jolla, CA, Feb. 6-10, 2006.
27. Recent invited talks include talks given at TECIT, WIPRO, NCC 2005.
28. P. Vijay Kumar, Petros Elia and K. Vinodh, “Efficient Space-Time Codes from Cyclic Division Algebras,” Miltiary Communications Conference (MILCOM 2006), Washington DC, 2006, Oct. 23-25.
29. P. Vijay Kumar, ”Sequence Design for Optical CDMA,” invited talk delivered at the International Conference on Sequences and their Applications, Sept. 24-28, 2006.
30. P. Vijay Kumar, “Achieving the D-MG and DMD Tradeoffs of MIMO Fading Channels, ” Workshop on Information Theory & Applications, University of California San Diego, La Jolla, CA, Feb. 6-10, 2006.
31. P. Vijay Kumar, “The Diversity-Multiplexing Gain Tradeoff of Space-Time Codes,” Proc. Eleventh National Communications Conference (NCC 2005), Indian Institute of Technology, Kharagpur, Jan. 28 - 30, 2005, pp. 3-7.
32. P.Vijay Kumar, “Space-Time Codes Achieving the Diversity-Multiplexing Gain Tradeoff,” invited talk presented at WCC 2005, March 14-18, 2005, Bergen, Norway.
33. P.Vijay Kumar, “The Capacity-Reliability Tradeoff in Space-Time Communications” tutorial with V. U. Reddy and Surendra Prasad given on the topic of Multi-Antenna Wireless Communications given at the International Conf. Wireless Personal Comm. (ICPWC) 2005, New Delhi, India. Jan 23-25.
34. P. Vijay Kumar and B. Sundar Rajan, “Space-Time Codes,” tutorial given at the Tenth National Communications Conference (NCC 2004), Indian Institute of Science, Bangalore, Jan. 30-Feb. 1, 2004.
35. H. Stichtenoth, K. Shum, I. Aleshnikov, P. V. Kumar and Deodalikar, V. “An N[log(N)]3 Algorithm for the Construction of Algebraic-Geometric Codes better than the Gilbert-Varshamov Bound, ” DIMACS Workshop on Codes and Complexity, Rutgers University, NJ, December 4-7, 2001.
36. H. Stichtenoth, K. Shum, I. Aleshnikov, P. V. Kumar and Vinay Deolalikar, “A low-complexity algorithm for constructing AG codes better than the Gilbert-Varshamov bound, ” Workshop on Mathematical Foundations, Coding Theory and Data Integrity Program, Institute for Mathematical Sciences, National University of Singapore, July 16-20, 2001.
37. P. Vijay Kumar, “On the Generalized Distributive Law,” presented at the Workshop on Coding Theory at the Institute for Experimental Mathematics, University of Essen, Essen, Germany, June 27-29, 2001.
38. P. Vijay Kumar, “An introduction to algebraic geometric codes,” invited talk given at Silicon Automation Systems, (SASKEN), Bangalore, Dec. 12, 2000.
39. K. Shum, I. Aleshnikov, P. Vijay Kumar and H. Stichtenoth, “ An Order N3 Complexity Algorithm for Constructing Generator Matrices for AG Codes that Beat the G-V Bound,” Thirty- Eighth Annual Allerton Conference on Communication, Control, and Computing, Allerton House, Monticello, Illinois Oct. 3 - 6, 2000.
40. P. Vijay Kumar “Pseudorandom code sets for multiple access” invited short talk at the Ultra- Wideband Radio Workshop, Solvang, CA, May 25-28, 1999.
41. P. Vijay Kumar, ”Recent developments on ideal autocorrelation sequences,” invited talk presented at the Irving Reed Symposium, Los Angeles, November 1998.
42. P. Vijay Kumar, ”Sequences with low correlation and large linear span,” invited talk presented at the Summer Program: Coding and Cryptography, held at the Institute for Mathematics and its Applications, Minnesota, July 6-18, 1998.
43. P. Vijay Kumar, ”Z4-Codes and Sequences,” invited talk presented at the the NATO Advanced Study Institute Programme on Difference Sets, Sequences and their Correlation Properties, Aug. 2-14, Bad Windsheim, Germany, 1998.
44. A.Chang, T. Helleseth and P. Vijay Kumar, ”Further results on a conjectured 2-level autocorrelation sequence,” invited talk presented at the 36th Annual Allerton Conference on Communication, Control and Computing, Allerton, IL, September 23-25, 1998.
45. P. Vijay Kumar,”An overview of recent developments on ideal autocorrelation sequences,” invited talk presented at the International Conference on Sequences and their Applications, Singapore, Dec. 14-17, 1998.
46. P. V. Kumar, “PN Sequences in Galois Rings”, Kon-kuk University, Seoul, Korea, April 30,1997.
47. P. V. Kumar, “Survey of recent trends algebraic geometric codes,” Hanyang University, April 28, 1997.
48. P. V. Kumar, “Lectures on Algebraic Geometric Codes,” a series of roughly a dozen lectures given in Spring 1997 at the Department of Computer Science and Automation in the Indian Institute of Science, Bangalore, India.
49. P. V. Kumar, “On Z4-Linear codes and exponential sums over Galois rings,” California Institute of Technology, Spring 1996.