Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., Princeton University 2014
• 

  Academic Positions Outside Duke

  • Member, Institute for advanced study. 2017 - 2018
  • Postdoctoral research fellow, Stanford University. 2014 - 2017
• Research
• 

  Fellowships, Supported Research, & Other Grants

  • NSF Mathematical Sciences Postdoctoral Research Fellowship awarded by National Science Foundation 2014 - 2017
  • NSF Graduate Research Fellowship awarded by National Science Foundation 2009 - 2012
• Publications & Artistic Works
• 

  Selected Publications

  • Academic Articles

    • Pollack, A, and Shah, S. "The spin L-function on GSp(6) via a non-unique model." American Journal of Mathematics 140, no. 3 (2018): 753-788.
    • Pollack, A, and Shah, S. "Multivariate Rankin-Selberg integrals on GL(4) and GU(2,2)." Canadian Mathematical Bulletin 61, no. 4 (2018): 822-835.
    • Pollack, A. "Unramified Godement-Jacquet theory for the spin similitude group." Journal of the Ramanujan Mathematical Society 33, no. 3 (2018): 249-282.
    • Pollack, A. "Lifting laws and arithmetic invariant theory." Cambridge Journal of Mathematics 6, no. 4 (2018): 347-449.
    • Pollack, A. "The spin -function on for Siegel modular forms." Compositio Mathematica 153, no. 07 (July 2017): 1391-1432.  Full Text
    • Pollack, A, and Shah, S. "On the Rankin–Selberg integral of Kohnen and Skoruppa." Mathematical Research Letters 24, no. 1 (2017): 173-222.  Full Text
    • Pollack, A, Wan, C, and Zydor, M. "A G_2-period of a Fourier coefficient of an Eisenstein series on E_6(Submitted)." .
    • Pollack, A, and Shah, S. "A multivariate integral representation on GL(2) x GSp(4) inspired by the pullback formula(Accepted)." Transactions of the American Mathematical Society .
    • Pollack, A, and Shah, S. "A class number formula for Picard modular surfaces(Submitted)." .
    • Pollack, A. "The Fourier expansion of modular forms on quaternionic exceptional groups(Submitted)." .
    • Pollack, A. "Modular forms on G_2 and their standard L-function(Submitted)." .
    • Pollack, A. "The minimal modular form on quaternionic E_8(Submitted)." .
• Teaching & Mentoring
• 

  Recent Courses

  • MATH 305S: Number Theory 2019
  • MATH 690-05: Topics in Number Theory 2019
  • MATH 212: Multivariable Calculus 2018
  • MATH 712: Multivariable Calculus 2018

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