MY STUDENTS

PhD Students

David Weirich (PhD Spring 2018)

PhD Dissertation Title: Weighted inequalities for dyadic operators over spaces of homogeneous type (UNM digital repository)
Graduate Student Technical Intern at Sandia National Laboratories, Albuquerque, NM, Feb 2015-Jan 2016.
Software Developer at Pillar Technology, Columbus, OH, May 2016-Aug 2017.
Data Scientist at Root Insurance Company, Columbus, OH, Aug 2017-present.

• 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.
  
  

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-Dec 2020).
Associate Professor at Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil (Jan 2021-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.

MS Students

Daniel Havens (MS expected May 2024)

MS Thesis will be in the intersection of discrete harmonic analysis and analytic number theory, with emphasis on the circle method.

Michael Kutzler (MS Summer 2021)

MS Thesis Title: Sparse Domination of the Martingale Transform UNM digital repository

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

Franklin Pezzuti (Expected May 2024)

Honors Thesis Title: Algebra of growth orders

Kioshi Morosin (With Honors, Summa Cum Laude, May 2023)

Honors Thesis Title: An Algebraist’s Introduction to Multiresolution Analysis (pdf file)
Kioshi started graduate school at City University of New York (CUNY) in August 2023.

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)
Cullen went to graduate school Duke University, and now is Postdoc at Los Alamos National Laboratories (2021-now).

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)
Cameron went to UNM for her MS 2014-2016.

Cristina Pereyra
Office: 320 SMLC

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University of New Mexico
Mathematics at UNM