MY STUDENTS



PhD Students


  • David Weirich (PhD Spring 2018)
  • Jean Moraes (PhD Fall 2011)
      PhD Dissertation Title: Weighted estimates for dyadic operators with complexity (pdf file)
      Adjunt Professor I at Universidade Federal de Pelotas, Brazil, Jan 2012-Dec 2012.
      Adjunct Professor (tenure track). at Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil. (Jan 2013-present)
    • Jean Moraes* and Maria Cristina Pereyra, Weighted estimates for dyadic paraproducts and $t$-Haar multipliers with complexity (m,n). Publ. Mat. 57 (2013), 265-294.
    • Oleksandra Beznosova, Jean Moraes* and Maria Cristina Pereyra, Sharp bounds for t-Haar multipliers on L2. Harmonic analysis and partial differential equations, 45--64, Contemp. Math., 612, Amer. Math. Soc., Providence, RI, 2014.
    • Oleksandra Beznosova, Daewon Chung, Jean Moraes*, and Maria Cristina Pereyra, On Two Weight Estimates for Dyadic Operators. AWM Series 5, Springer Int. Pub. (2017) 135--169.


  • Daewon Chung (PhD Summer 2010)
      PhD Dissertation Title: Commutators and dyadic paraproducts on weighted Lebesgue spaces (pdf file)
      Postdoc at University of New Mexico, Albuquerque, NM Fall 2010-2011, Adjunct Lecturer III at University of New Mexico, NM Fall 2011-2012.
      Postdoc at Inha University, Seoul, South Korea 2012-2014.
      Assistant Professor, Department of Mathematics, Keimyung University, Daegu, South Korea (Fall 2014-present).
    • Daewon Chung*, Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces. Indiana U. Math. J. 60 (2011), no. 5, 1543--1588.
    • Daewon Chung*,Weighted norm inequalities for the multivariable dyadic paraproducts. Pub. Mat. 55 (2011), 475-499.
    • Oleksandra Beznosova, Daewon Chung*, Jean Moraes, and Maria Cristina Pereyra, On Two Weight Estimates for Dyadic Operators. AWM Series 5, Springer Int. Pub. (2017) 135--169..

  • Oleksandra Beznosova (PhD Spring 2008)
      PhD Dissertation Title: Bellman Functions, Paraproducts, Haar Multipliers and Weighted Inequalities (pdf file)
      Postdoc at University of Missouri-Columbia, MO (Fall 2008-2011),
      Postdoc at Baylor University, Waco, TX (Fall 2011-2014).
      Assitant Professor, Department of Mathematics, University of Alabama, Tuscaloosa, AL. (Fall 2014-present)
    • Beznosova, Oleksandra* V. , Linear bound for the dyadic paraproduct on weighted Lebesgue space L2(w). J. Funct. Anal. 255 (2008), no. 4, 994--1007.
    • Oleksandra Beznosova*, Jean Moraes and Maria Cristina Pereyra, Sharp bounds for t-Haar multipliers on L2. Harmonic analysis and partial differential equations, 45--64, Contemp. Math., 612, Amer. Math. Soc., Providence, RI, 2014.
    • Oleksandra Beznosova*, Daewon Chung, Jean Moraes and Maria Cristina Pereyra, On Two Weight Estimates for Dyadic Operators. AWM Series 5, Springer Int. Pub. (2017 135--169..



  • Darek Panek (PhD Summer 2008)
      PhD Dissertation Title: On Sharp Extrapolation Theorems (pdf file)
      Visiting Professor at University of Ohio, Athens, OH, 2008-2011.
      Lecturer at University of Ohio, Athens, OH, 2011-2016.
      Temporary Faculty at University of Delaware, Newark, DE, 2016-present.


    Current PhD Students


  • David Weirich (PhD May 2018)
      PhD Dissertation Title: Weighted inequalities for dyadic operators over spaces of homogeneous type.
      Data Scientist at Root Insurance Company (Aug 2017). Software Developer at Pillar Technology (May 2016-Aug 2017). Graduate Student Technical Intern at Sandia National Laboratories (Feb 2015-Jan 2016).
    • Theresa C. Anderson, David E. Weirich, A dyadic Gehring inequality in spaces of homogeneous type and apllications New York J. Math 24 (2018) 1--9.

    MS Students


  • Sara Mehraban (MS Summer 2016)
      MS Thesis Title: Some Notes on Compressive Sensing (pdf file)

  • Nuriye Atasaver (MS Fall 2014)
      MS Thesis Title: The Hilbert transform as an average of dyadic shift operators (pdf file)

  • Kourosh Raaen (MS Summer 2008)
      MS Thesis Title: A Study of the Gibbs Phenomenon in Fourier Series and Wavelets (pdf file)

  • Bernadette Mendoza-Spencer (MS Spring 2006)
      MS Thesis Title: The continuous and Discrete Hilbert Transform
      (PhD Program Math Education at University of Northern Colorado)
      Joint with Prof. Pedro Embid


    Undergraduate Students


  • Cullen Roth ((With Honors, Summa Cum Laude, May 2014)
      Honors Thesis Title: The Fast Wavelet Transform and its Application to Electroencephalography: A Study of Schizophrenia (pdf file) Went to graduate school Duke University.


  • Cameron Lavigne (With Honors, Summa Cum Laude, December 2013)
      Honors Thesis Title: Fourier Analysis on Finite Abelian Groups With an Emphasis on Uncertainty Principles (pdf file) Went to UNM for her MS 2014-2016.


    Cristina Pereyra
    Office: 320 SMLC


    University of New Mexico
    Mathematics at UNM