Associate Professor Catalin Carstea

Contact

• Email: catalin.carstea@gmail.com
• Tel: 03-571-2121 ext. 56423
• Fax: +886-3-572-4679
• Address: Department of Applied Mathematics, National Yang Ming Chiao Tung University,1001 Ta Hsueh Road, Hsinchu, Taiwan 30050, ROC

Teaching

• Fall Semester, 2024：
  • Colloquium
• Spring Semester, 2024：
  • Calculus A (II)

Vitae

• Education
  • 2006–2010 Ph.D., University of Chicago, Mathematics Department,
  • 2004–2006 M.Sc., University of Chicago, Mathematics Department
  • 2003–2004 n/a, University of Chicago, Physics Department
  • 2002–2003 n/a, University of Bucharest, Faculty of Physics
  • 1998–2002 Diplom˘a de Licent¸a, University of Bucharest, Faculty of Physics
• Research Areas
  • Inverse Problems
  • Partial Differential Equations
• Positions, Honors and Awards
  • (Oct. 2018–pres.) Specially Appointed Associate Researcher
  • (tenure-track), Sichuan University, College of Mathematics, Chengdu, China
  • (Sep. 2017–Aug. 2018) Postdoctoral Fellow, HKUST Jockey Club Institute for Advanced Study, Hong Kong
  • (Aug. 2015–Aug 2017) Postdoctoral Researcher, National Center for Theoretical Sciences, National Taiwan  University, Taipei
  • (Aug. 2014–Jul. 2015) Lecturer in Physics, Brockenhurst College, Brockenhurst, UK, working at: No. 7 Middle School, Chengu, China
  • (Jul. 2012–Jul. 2014) Staff Member, Rochester Zen Center, Rochester, NY, USA, (1yr R&M, 1yr  bookkeeper)
  • (Aug. 2010–Jun. 2012) Visiting Assistant Professor, University of Rochester, Dept. of Mathematics, Rochester, NY, USA
  • (2006–2010) Lecturer in the College, University of Chicago, Dept. of Mathematics, Chicago, IL, USA
  • (2005–2006) College Fellow, University of Chicago, Dept. of Mathemat- ics, Chicago, IL, USA
  • (2003–2004) Teaching Assistant, University of Chicago, Dept. of Physics, Chicago, IL, USA

Selected Publications

(A)   Refereed Papers：

1.  C˘at˘alin I. Cˆarstea , A construction of blow up solutions for co-rotational wave maps. Comm.Math.Phys. vol. 300 (2010), no.2, 487–528. https://doi.org/10.1007/s00220-010-1118-4
2. C˘at˘alin I. Cˆarstea  &  Jenn-Nan  Wang,    Uniqueness   for   the   two dimensional    Calder´on’s    problem    with    unbounded    conductivity. Ann. Scuola Norm.-Sci. (5) Vol. XVIII (2018), 1459–1482. https://doi.org/10.2422/2036-2145.201608  009
3. C˘at˘alin I. Cˆarstea  &  Jenn-Nan  Wang,   Size   estimates   for   the   in- verse boundary value problems of isotropic elasticity and complex conductivity in 3D. Inverse Problems vol. 33 (2017), no. 12. https://doi.org/10.1088/1361-6420/aa990d
4. C˘at˘alin I. Cˆarstea & Naofumi Honda & Gen Nakamura, Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity. SIAM J. Math. Anal. vol. 50 (2018), no. 3 , 3291–3302. https://doi.org/10.1137/17M1125662
5. Sombuddha Bhattacharyya & C˘at˘alin I. Cˆarstea,  Optimal  stability  es- timate in the inverse boundary value problem for periodic potentials with partial data. J. Math. Anal. Appl. vol. 466 (2018) 642–654. https://doi.org/10.1016/j.jmaa.2018.06.015
6. C˘at˘alin I. Cˆarstea, On an inverse boundary value problem for a nonlinear time harmonic Maxwell system. J. Inverse Ill Posed Probl. (2021). https://doi.org/10.1515/jiip-2020-0071
7. C˘at˘alin I. Cˆarstea & Tu Nguyen & Jenn-Nan Wang, Uniqueness estimates for the general complex conductivity equation and their applications to inverse problems. SIAM J. Math. Anal. 52(1) (2020), 570–580. https://doi.org/10.1137/18M1225112
8. C˘at˘alin I. Cˆarstea & Gen Nakamura & Lauri Oksanen, Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain, Trans. AMS 373 (2020), 3423-3443. https://doi.org/10.1090/tran/8014
9. C˘at˘alin I. Cˆarstea  &  Gen  Nakamura  &  Manmohan  Vashisth,   Re- construction for the coefficients of a quasilinear elliptic partial dif- ferential equation, App. Math. Lett. vol.98 (2019) 121–127. https://doi.org/10.1016/j.aml.2019.06.009
10. C˘at˘alin I. Cˆarstea & Jenn-Nan Wang, Propagation of smallness for an elliptic PDE with piecewise Lipschitz coefficients, J. Differ. Eq. 268, no. 12 (2020), 7609-7628. https://doi.org/10.1016/j.jde.2019.11.088
11. C˘at˘alin I. Cˆarstea & Manas Kar, Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term, Inverse Problems 37 (1) (2020), 015013. https://doi.org/10.1088/1361-6420/abcea1
12. C˘at˘alin I. Cˆarstea & Ali Feizmohammadi,  An  inverse  boundary  value problem for certain anisotropic quasilinear elliptic equations, J. Differ. Eq. 284 (2021), 318-349. https://doi.org/10.1016/j.jde.2021.02.044
13. C˘at˘alin I. Cˆarstea & Ali Feizmohammadi, A density property for tensor products of gradients of harmonic functions and applications, arXiv preprint arXiv:2009.11217  (2020). (submitted)
14. C˘at˘alin I. Cˆarstea & Ali Feizmohammadi & Yavar Kian & Katya Krupchyk & Gunther Uhlmann, The Calder´on inverse problem for isotropic quasi- linear conductivities, Advances in Mathematics 391 (2021), 107956. https://doi.org/10.1016/j.aim.2021.107956
15. C˘at˘alin I. Cˆarstea & Tuhin Ghosh & Gen Nakamura, An inverse boundary value problem for the inhomogeneous porous medium equation, arXiv preprint  arXiv:2105.01368  (2021). (submitted)
16. C˘at˘alin I. Cˆarstea I. Caˆrstea & Tuhin Ghosh & Gunther Uhlmann, An inverse prob- lem for the porous medium equation with a possibly singular absorption term, arXiv preprint arXiv:2108.12970 (2021). (submitted)

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