Research

Papers
  • The ρ Parameter at Three Loops and Elliptic Integrals.
    J. Bluemlein, A. De Freitas, M. van Hoeij, E. Imamoglu, P. Marquard, C. Schneider.
    In Proceedings of “Loops and Legs in Quantum Field Theory – LL 2018”, pp. 1–14, 2018.
    To Appear in PoS.
    [arXiv]
  • Sparse Polynomial Interpolation with Arbitrary Orthogonal Polynomial Bases.
    Erdal Imamoglu, Erich L. Kaltofen, and Zhengfeng Yang.
    In Proceedings of ISSAC 2018, pp. 223–230, 2018.
    In memory of Bobby F. Caviness (3/24/1940-1/11/2018).
    [doi]
  • Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams.
    J. Ablinger, J. Bluemlein, A. De Freitas, M. van Hoeij, E. Imamoglu, C.G. Raab, C.-S. Radu, C. Schneider.
    Journal of Mathematical Physics, Vol. 59, Issue 6, 2018.
    [doi] [arXiv]
  • Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations.
    J. Ablinger, A. Behring, J. Bluemlein, A. De Freitas, E. Imamoglu, M. van Hoeij, A. von Manteuffel, C.G. Raab, C.-S. Radu, C. Schneider.
    In Proceedings of RADCOR 2017, pp. 1–13, 2017.
    [arXiv]
  • Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions and Integral Bases.
    Erdal Imamoglu and Mark van Hoeij.
    Journal of Symbolic Computation 83, pp. 254–271, 2017.
    [arXiv] [doi] [Maple implementation]
  • Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions.
    Erdal Imamoglu and Mark van Hoeij.
    In Proceedings of ISSAC 2015, pp. 235–242, 2015.
    [doi] [Maple implementation]
  • 2F1-type Solutions of Second Order Differential Equations.
    Mark van Hoeij and Erdal Imamoglu.
    ACM Communications in Computer Algebra, Vol. 48, No. 3, Issue 189, 2014.
Conference Talks
  • Sparse Polynomial Interpolation with Arbitrary Orthogonal Polynomial Bases.
    ISSAC 2018, City University of New York (CUNY), New York City, New York, USA, July 19, 2018.
  • On Standard Forms of Linear Ordinary Differential Equations with Rational Function Coefficients.
    Joint Mathematics Meetings (JMM) 2018, San Diego, California, USA, January 13, 2018.
  • Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions and Integral Bases.
    Joint Mathematics Meetings (JMM) 2017, Atlanta, Georgia, USA, January 5, 2017.
  • Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions.
    ISSAC 2015, University of Bath, Bath, UK, July 8, 2015.
  • On 2F1-type Solutions of Second Order Linear Differential Equations.
    SIAM International Symposium on Orthogonal Polynomials, Special Functions & Applications (SIAM – OPSFA), National Institute of Standards and Technology (NIST), Gaithersburg, Maryland, USA, June 3, 2015.
Poster Presentations
  • Integral Bases for Differential Operators and Normalization at Infinity.
    Differential Algebra and Related Topics VII (DART VII), City University of New York (CUNY) and Hunter College, New York City, New York, USA, September 29 – October 4, 2016.
  • 2F1-type Solutions of Second Order Differential Equations.
    ISSAC 2014, Kobe University, Kobe, Japan, July 23 – 25, 2014.
Seminar Talks
  • Algorithms for Solving Linear Differential Equations with Rational Function Coefficients.
    Kolchin Seminar in Differential Algebra, City University of New York (CUNY), NY, USA, February 9, 2018.
  • Algorithms for Solving Linear Differential Equations with Rational Function Coefficients.
    Symbolic Computation Seminar, North Carolina State University, NC, USA, September 19, 2017.
  • Integral Bases for Differential Operators.
    Algebra and its Applications Seminar, Florida State University, FL, USA, December 8, 2016.
  • Creative Telescoping Algorithms.
    Algebra Seminar, Florida State University, FL, USA, March 24, 2016.
  • Computing an Integral Basis for a Module Defined by a Linear Differential Operator.
    Algebra and its Applications Seminar, Florida State University, FL, USA, November 12, 2015.
  • Computing an Integral Basis for a Function Field.
    Graduate Student Seminar, Florida State University, FL, USA, September 4, 2015.
  • Hurwitz Type Formula for Differential Equations.
    Algebra Seminar, Florida State University, FL, USA, April 2, 2015.
  • An Application of Riemann-Hurwitz Formula.
    Graduate Student Seminar, Florida State University, FL, USA, March 20, 2015.
  • Projective Equivalence of Differential Operators.
    Graduate Student Seminar, Florida State University, FL, USA, February 6, 2015.
  • Hypergeometric Solutions of Differential Equations.
    Algebra Seminar, Florida State University, FL, USA, October 30, 2014.
  • Formal and Closed Form Solutions of Differential Operators.
    Algebra and its Applications Seminar, Florida State University, FL, USA, January 30, 2014.