Associate Professor

PhD, Vanderbilt, 2004

Office: YR 328

Phone: (410) 704-3308

Fax: (410)-704-4149

Email: tsorokina (at) towson.edu, sorokina(at)math.utah.edu

Office Hours: MW 3-4pm

- First International Workshop on Algebraic Geometry and
Approximation Theory, Towson, MD, April 11--12, 2008
- Second International Workshop on Algebraic Geometry and
Approximation Theory, Towson, MD, April 9--11, 2009
- Mathematisches Forschungsinstitut
Oberwolfach Workshop on Multivariate Splines and
Algebraic Geometry, April 19--25, 2015.

- Approximation Theory (Splines)
- CAGD
- Numerical Analysis

- Approximation
order of bivariate kernel-splines, A. Amanov
Memorial Conference Proceedings, Kazakh State University Press (1993), 139—141
- C^1
quintic splines on type-4 tetrahedral partitions,
(with Larry L. Schumaker), Adv. in Comp. Math.
21 (2004), 421--444.
- A C^1 cross
polytope macro-element in four variables, in Approximation Theory XI:
Gatlinburg 2004, Charles K. Chui, Marian Neamtu
and Larry L. Schumaker (eds.), Nashboro Press, Brentwood, TN, 2004, 405--422
- Optimal
quasi-interpolation by quadratic C^1 splines on type-2 triangulations,
with F. Zeilfelder, in Approximation Theory XI:
Gatlinburg 2004, Charles K. Chui, Marian Neamtu
and Larry L. Schumaker (eds.), Nashboro Press, Brentwood, TN, 2004, 423--438
- A trivariate box macro-element, (with Larry L. Schumaker), Constructive Approximation, Volume 21,
Number 3, 2005, 413--431
- A
family of C^r macro-elements on Powell-Sabin-12
splits, (with Larry L. Schumaker), Math.
Comp., Volume 75, 2006, 711--726
- An octahedral C^2
macro-element, with M.-J. Lai and A. Le Mehaute,
GAGD, Volume 23, 2006, 640--654
- Local
quasi-interpolation by trivariate cubic C^1
splines on type-6 tetrahedral partitions, with F. Zeilfelder,
IMA J. Numer. Anal., Volume 27, 2007, 74--101
- A multivariate
Powell-Sabin interpolant, with A.J. Worsey,Advances
in Comp. Math, Volume 29, Number 1, 2008, 71--89
- An
explicit quasi-interpolation scheme based on C^1 quartic splines on type-1
triangulations, with F. Zeilfelder, CAGD,
Volume 25, 2008, 1--13
- On
the n-dimensional Clough-Tocher interpolant, open for preview
- A C^1 Multivariate Clough-Tocher
Interpolant, Constructive Approximation, Volume
29, 2009, 41—59
- A C^1 quadratic trivariate macro-element space defined over
arbitrary tetrahedral partitions, with L. Schumaker
and A. J. Worsey, in Journal of Approximation Theory,
Vol.~158, Issue 1, 2009, 126—142
- Two tetrahedral C^1 cubic macro elements, with P. Alfeld, Journal of Approximation Theory, Vol.~157,
Issue 1, 2009, 53--69
- Two condensed macro-elements with full approximation
power, with P. Alfeld and L. Schumaker,
in Advances in Computational
Mathematics, Vol.~32 (2010),
381--391
- Intrinsic supersmoothness of
multivariate splines, in Numerische Mathematik,
Vol.~116, Number 3, 2010, 421--434
- An optimal multivariate spline method of recovery of
twice differentiable functions, with S. Borodachov, in BIT Numerical Mathematics, Vol. 51,
Issue 3, 2011, 497--511
- Symmetry and bivariate splines, in Proceedings of Bridges 2012:
Mathematics, Music, Art, Architecture, Culture, Robert Bosch, Douglas
McKenna and Reza Sarhangi (eds), Tessellations
Publishing, Phoenix, AZ, 2012, 421--424
- Optimal recovery of twice differentiable functions
based on symmetric splines, ,
with S. Borodachov, in Journal of Approximation Theory,
Vol. 164, 2012, 1443--1459
- Generating dimension formulas for multivariate splines,
with S. Foucart, in Albanian Journal of Mathematics, Vol.
7, Number 1, 2013, 25--35
- Redundancy of smoothness conditions and supersmoothness of bivariate splines, in IMA Journal
of Numerical Analysis, to appear.
- Multivariate $C^1$-continuous
splines on the Alfeld split of a simplex, with A. Kolesnikov, to
appear in Approximation Theory XIV: San Antonio 2013.

- Access
to the deBoor/Schumaker bibliography of splines.
- Access
to Peter Alfeld's bivariate applet.
- Access
to Peter Alfeld's trivariate
applet.

- Twelfth
International Conference on Approximation Theory. San Antonio, March
4--8, 2007.
- Curves
and Surfaces , Avignon, June 29 -- July 5,
2006.
- Eleventh
International Conference on Approximation Theory. Gatlinburg, TN, May
18--22, 2004.
- Wavelets and
Splines, Athens, GA, May 16--19, 2005.
- SIAM
Geometric Design, Phoenix, Oct. 30 -- Nov. 3, 2005.
- Multivariate
Approximation , Cancun, April 26 -- May 1,
2007.
- First International Workshop on Algebraic Geometry and
Approximation Theory, Towson, MD, April 11--12, 2008
- Second International Workshop on Algebraic Geometry and
Approximation Theory, Towson, MD, April 9--11, 2009