Ma, Shiqi（马世琪）

Math building 329
School of Mathematics
Jilin University
Changchun, 130012, China

CV      ORCID      GS      Jilin U

Research Interests

• Inverse problems
• Partial differential equations
• Stochastic inverse problems
• Microlocal analysis

Courses

• Pseudo-differential operators and microlocal analysis   (2025 spring)

Prepints (full list of arXiv preprints)

• Saumyajit Das, Tuhin Ghosh, Shiqi Ma
  Inverse scattering for the fractional Schrödinger equation
  arXiv:2509.12685 (2025). @article{ma2025frac, author={Das, Saumyajit and Ghosh, Tuhin and Ma, Shiqi}, title={Inverse scattering for the fractional Schr\"{o}dinger equation}, journal={arXiv:2509.12685}, year={2025}, }
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• Shiqi Ma
  Regularity and energy of second order hyperbolic boundary value problems on non-timelike hypersurfaces
  arXiv:2107.09762 (2021). @article{ma2021non, author={Ma, Shiqi}, title={Regularity and energy of second order hyperbolic boundary value problems on non-timelike hypersurfaces}, journal={arXiv:2107.09762}, year={2021}, }
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Accepted/In press/Published papers

• Katya Krupchyk, Shiqi Ma, Suman Kumar Sahoo, Mikko Salo, Simon St-Amant
  Inverse problems for semilinear Schrödinger equations at large frequency via polynomial resolvent estimates on manifolds
  Pure Appl. Anal., 7 (2025), no. 1, 65–100. @article {KMS2024, AUTHOR = {Krupchyk, Katya and Ma, Shiqi and Sahoo, Suman Kumar and Salo, Mikko and St-Amant, Simon}, TITLE = {Inverse problems for semilinear {S}chr\"odinger equations at large frequency via polynomial resolvent estimates on manifolds}, JOURNAL = {Pure Appl. Anal.}, FJOURNAL = {Pure and Applied Analysis}, VOLUME = {7}, YEAR = {2025}, NUMBER = {1}, PAGES = {65--100}, ISSN = {2578-5885,2578-5893}, MRCLASS = {58J32 (31C12 35J61 35R01 35R30)}, MRNUMBER = {4854442}, DOI = {10.2140/paa.2025.7.65}, }
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• Shiqi Ma, Suman Kumar Sahoo, Mikko Salo
  The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform
  J. London Math. Soc., 110 (2024), no. 4, e13006. @article{MSS2022anisotropic, author = {Ma, Shiqi and Sahoo, Suman Kumar and Salo, Mikko}, title = {The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform}, journal = {Journal of the London Mathematical Society}, volume = {110}, number = {4}, pages = {e13006}, year = {2024} }
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• Pu-Zhao Kow, Shiqi Ma, Suman Kumar Sahoo
  An inverse problem for semilinear equations involving the fractional Laplacian
  Inverse Problems, 39 (2023), 095006. @article {KMS2022global, AUTHOR = {Kow, Pu-Zhao and Ma, Shiqi and Sahoo, Suman Kumar}, TITLE = {An inverse problem for semilinear equations involving the fractional {L}aplacian}, JOURNAL = {Inverse Problems}, FJOURNAL = {Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data}, VOLUME = {39}, YEAR = {2023}, NUMBER = {9}, PAGES = {Paper No. 095006, 27}, ISSN = {0266-5611,1361-6420}, MRCLASS = {65M32 (35R11)}, MRNUMBER = {4629230}, }
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• Hongyu Liu and Shiqi Ma
  Inverse problem for a random Schrödinger equation with unknown source and potential
  Math. Z., 304 (2023), no. 28, 1--31. @article {lm2020determining, AUTHOR = {Liu, Hongyu and Ma, Shiqi}, TITLE = {Inverse problem for a random Schr\"{o}dinger equation with unknown source and potential}, JOURNAL = {Math. Z.}, FJOURNAL = {Mathematische Zeitschrift}, VOLUME = {204}, YEAR = {2023}, NUMBER = {28}, PAGES = {1--31}, DOI = {10.1007/s00209-023-03289-4}, URL = {https://doi.org/10.1007/s00209-023-03289-4}, }
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• Shiqi Ma, Leyter Potenciano-Machado, Mikko Salo
  Fixed angle inverse scattering for sound speeds close to constant
  SIAM J. Math. Anal., 55 (2023), 3420--3456. @article {MPS2021fixed, AUTHOR = {Ma, Shiqi and Potenciano-Machado, Leyter and Salo, Mikko}, TITLE = {Fixed {A}ngle {I}nverse {S}cattering for {S}ound {S}peeds {C}lose to {C}onstant}, JOURNAL = {SIAM J. Math. Anal.}, FJOURNAL = {SIAM Journal on Mathematical Analysis}, VOLUME = {55}, YEAR = {2023}, NUMBER = {4}, PAGES = {3420--3456}, ISSN = {0036-1410,1095-7154}, MRCLASS = {35R30 (31B10 35J05 35Q60 78A40)}, MRNUMBER = {4624351}, DOI = {10.1137/22M147640X}, URL = {https://doi.org/10.1137/22M147640X}, }
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• Shiqi Ma, Mikko Salo
  Fixed angle inverse scattering in the presence of a Riemannian metric
  J. Inverse Ill-Posed Probl., 30 (2022), no. 4, 495--520. @article {ms2020fixed, AUTHOR = {Ma, Shiqi and Salo, Mikko}, TITLE = {Fixed angle inverse scattering in the presence of a {R}iemannian metric}, JOURNAL = {J. Inverse Ill-Posed Probl.}, FJOURNAL = {Journal of Inverse and Ill-Posed Problems}, VOLUME = {30}, YEAR = {2022}, NUMBER = {4}, PAGES = {495--520}, ISSN = {0928-0219}, MRCLASS = {35Q60 (31B10 35J05 35R30 78A40)}, MRNUMBER = {4460195}, DOI = {10.1515/jiip-2020-0119}, URL = {https://doi.org/10.1515/jiip-2020-0119}, }
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• Jingzhi Li, Hongyu Liu and Shiqi Ma
  Determining a random Schrödinger operator: both potential and source are random
  Comm. Math. Phys., 381 (2021), no. 2, 527--556. @article {llm2019bothrandom, AUTHOR = {Li, Jingzhi and Liu, Hongyu and Ma, Shiqi}, TITLE = {Determining a random {S}chr\"{o}dinger operator: both potential and source are random}, JOURNAL = {Comm. Math. Phys.}, FJOURNAL = {Communications in Mathematical Physics}, VOLUME = {381}, YEAR = {2021}, NUMBER = {2}, PAGES = {527--556}, ISSN = {0010-3616}, MRCLASS = {35J10 (60 81U40)}, MRNUMBER = {4207450}, DOI = {10.1007/s00220-020-03889-9}, URL = {https://doi.org/10.1007/s00220-020-03889-9}, }
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• Jingzhi Li, Hongyu Liu and Shiqi Ma
  Determining a random Schrödinger equation with unknown source and potential
  SIAM J. Math. Anal., 51 (2019), no. 4, 3465--3491. @article {llm2018random, AUTHOR = {Li, Jingzhi and Liu, Hongyu and Ma, Shiqi}, TITLE = {Determining a random {S}chr\"{o}dinger equation with unknown source and potential}, JOURNAL = {SIAM J. Math. Anal.}, FJOURNAL = {SIAM Journal on Mathematical Analysis}, VOLUME = {51}, YEAR = {2019}, NUMBER = {4}, PAGES = {3465--3491}, ISSN = {0036-1410}, MRCLASS = {35R60 (31B10 35C20 35J10 35P25 35Q60 35R30 78A40)}, MRNUMBER = {3995040}, MRREVIEWER = {Sergey V. Lototsky}, DOI = {10.1137/18M1225276}, URL = {https://doi.org/10.1137/18M1225276}, }
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Miscellaneous manuscripts

• Shiqi Ma
  Lecture notes for pseudodifferential operators and microlocal analysis
  arXiv:2107.12839 (2021). @article{ma2021lec, author={Ma, Shiqi}, title={Lecture notes for pseudodifferential operators and microlocal analysis}, journal={arXiv:2107.12839}, year={2021}, }
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• Shiqi Ma
  On recent progress of single-realization recoveries of random Schrödinger systems
  Electron. Res. Arch., 29 (2021), no. 3, 2391--2415. @article{ma2020on, author = {Ma, Shiqi}, title = {On recent progress of single-realization recoveries of random Schrödinger systems}, journal = {Electron. Res. Arch.}, fjournal = {Electronic Research Archive}, volume = {29}, number = {3}, pages = {2391--2415}, year = {2021}, doi = {10.3934/era.2020121}, }
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• Shiqi Ma
  Stationary phase lemmas for general functions
  arXiv:2010.13134 (2020). @article{mastat2020, author={Ma, Shiqi}, title={Stationary phase lemmas for general functions}, journal={arXiv:2010.13134}, year={2020}, }
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