team

Armen Vagharshakyan

Ph.D. of Physico-mathematical Sciences

About

Education:
  • Yerevan State University / Bechelor's degree in Mathematics (2000 - 2004)
  • Yerevan State University / Master's degree in Mathematics (2004 - 2006)
  • Yerevan State University / PhD (2006 - 2008) 
  • Georgia Institute of Technology / (2006 - 2010)

Work Experience:
  • 2022 - present, RSEMC Southern Federal University
    • Leading researcher
  • 2018 - present, Institute of  Mathematics NAS 
    • Senior researcher

Specialization: analysis.

Taught Subjects:
  • Game theory
  • Functional analysis

Projects:
  • 2013 - 2015, AMS-Simons travel grant, American Mathematical Society 
  • 2018 - 2020, Co-investigator of grant 18T-1A081, Science Committee of Armenia
  • 2024, Remote laboratory, grant 24RL-1A028, Science Committee of Armenia 
  • 2024, Professional internship grant 24PTS-1A002, Science Committee of Armenia 
  • 2024, Partial support by grant 075–02–2024–1427, Ministry of Education and Science, Russia 

Awards and Grants:
  • 2004, Student of the year, Faculty of Mathematics, Yerevan State University
  • 2004, Silver medal, Intl Scientific Olympiad on Mathematics for Undergraduate University Students, Iran 
  • 2007, Top graduate student, School of Mathematics, Georgia Tech 
  • 2023, Second prize in phys.-math. sciences of the "Best scientific work" award, Academy of Sciences, Armenia

Scientific interests

  • Harmonic and complex analysis
  • Uniformity of distributions

List of publications

  • A. Karapetyants, A. Vagharshakyan, “The Hadamard–Bergman Convolution on the Half-Plane." J. Fourier Anal. Appl. 30, art. num. 38 (2024)
  • A. Mkrtchyan, A. Vagharshakyan. “Trigonometric Convexity for the Multidimensional Indicator." Canad. J. Math. (2024)
  • A. Vagharshakyan. “Sectorial Paley–Wiener theorem." Math. Meth. Appl. Sci. 46 (2023): 19173–19183
  • A. Vagharshakyan. “An upper bound for the Menchov-Rademacher operator for right triangles." Proc. Amer. Math. Soc. 150 (2022): 3959-3971
  • T. Anderson, A. Vagharshakyan. “A simple proof of the sharp weighted estimates for Calderon-Zygmund operators on homogeneous spaces." J. Geom. Anal. 24, no 3 (2014):1276–1297
  • A. Vagharshakyan. “Lower bounds for L1 discrepancy."Mathematika 59, no. 2 (2013):365-379
  • A. Vagharshakyan. “Recovering singular integrals from Haar shifts." Proc. Amer. Math. Soc. 138, no. 12 (2010):4303-4309
  • D. Bilyk, M. Lacey, I. Parissis, and A. Vagharshakyan. “A three-dimensional signed small ball inequality." Dependence in probability, analysis and number theory, Kendrick Press, Heber City, UT (2010):73-87
  • D. Bilyk, M. Lacey, I. Parissis, and A. Vagharshakyan. “Exponential squared integrability of the discrepancy function in two dimensions." Mathematika 55, no. 1-2 (2009):1-27
  • D. Bilyk, M. Lacey, and A. Vagharshakyan. “On the small ball inequality in all dimensions." J. Funct. Anal. 254, no. 9 (2008):2470-2502
  • D. Bilyk, M. Lacey, and A. Vagharshakyan. “On the signed small ball inequality." Online J. Anal. Comb. no. 3, art. 6 (2008):1-7
  • A. Vagharshakyan. “On representation of functions from the space ReH1." Rep. of Acad. Sci. Armenia 105, no. 2 (2005)
  • A. Vagharshakyan. “Representation of L1(R) by functional

File information