María de los Ángeles Alfonseca-Cubero

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Curriculum Vitæ

Mailing Address : NDSU Mathematics Dept #2750, PO Box 6050, Fargo ND 58108-6050

Phone: (701) 231-8254 

Fax: (701) 231-7598 

E-mail: maria.alfonseca at ndsu.edu

Employment:

          North Dakota State University (Aug. 2014 - present) Associate Professor

North Dakota State University (Aug. 2006 - 2014) Assistant Professor

Kansas State University (Aug. 2005 - May 2006) Assistant Professor

University of Missouri-Columbia (Aug. 2003 - May 2005) Postdoctoral Fellow

Education:

Universidad Autonóma de Madrid, Spain (Oct. 2000 - May 2003) Ph.D. in Mathematics, May 2003
Thesis: An almost-orthogonality principle for families of maximal operators along directions in R2
Advisors: Fernando Soria and Ana Vargas

Universidad Autonóma de Madrid,, Spain (Sep. 1998- Sep. 2000) M.S. in Mathematics, Sep. 2000
Advisors: Fernando Soria and Ana Vargas

Universidad Autonóma de Madrid, Spain B.S. in Mathematics, June 1998

Research Interests :

Harmonic Analysis, Convex Geometry. 

Publications (Partially supported by the NSF Grant DSM-1100657):

• On the local convexity of intersection bodies of revolution, (with J. Kim), Canadian Journal of Mathematics 67(2015), no. 1, 3-27. 

• Intersection bodies that are not polar zonoids: A flat top condition in dimensions 4 and 6,  J. Math. Analysis and Applications 404 (2013), no. 2, 326–337.

• Analyticity of layer potentials and $L^2$ solvability of boundary value problems for divergence form elliptic equations with complex $L^\infty$ coefficients, (with P. Auscher, A. Axelson, S. Hofmann, S. Kim), Adv. Math. 226 (2011) 4533-4606.

• An extension of a result by Lonke to intersection bodies, J. Math. Analysis and Applications 371 (2010), no.1, 146-157.

• A remark on maximal operators along directions in R2, (with F. Soria and A. Vargas) Math. Res. Lett. 10 (2003), no. 1, 41-49.

• Strong type inequalities and an almost-orthogonality principle for families of maximal operators along directions in R2, J. London Math. Soc. (2) 67 (2003), 208-218.

• An almost-orthogonality principle in L2 for directional maximal functions (with F. Soria and A. Vargas), Harmonic Analysis at Mount Holyoke, 1-7, Contemp. Math, 320 Amer. Math. Soc. 2003.

 Other activities :

• Organizer of Sonia Kovalevsky High School Mathematics Day (2007-2014)
• Organizer of the Fall Meeting of the North Central Section of the Mathematical Association of America, September 26-27, 2014.
• Organizer of the CBMS conference "Reflectionless measures, Wolff’s potentials, and rectifiability", July 27-31, 2015.