I received my BSc and MSc in Mathematics from St Petersburg State University, Russia (Department of Applied Mathematics and Control Processes) in 2000, with a dissertation co-supervised by the Steklov Mathematical Institute on diffraction theory for bodies with curvature jumps. I obtained my PhD in Mathematics from Loughborough University, UK, in 2005, working on inverse boundary value problems for complex bodies.
From 2006 to 2010 I held an EPSRC Postdoctoral Fellowship at the University of Edinburgh, developing independent research on inverse problems, wave propagation, and optimisation methods, with applications to non-invasive tumour testing and treatment protocols. Between 2010 and 2013 I was a Lecturer in Mathematics at the University of Glasgow, where became a Fellow of the Higher Education Academy.
I joined Liverpool Hope University in 2013 and became a Senior Lecturer in Mathematics, focusing on wave propagation in inhomogeneous media and network optimisation. Since 2018 I have been Lecturer in Mathematics at the University of Stirling, where I direct the MSc Mathematics and Data Science programme. My current research projects span inverse problems and wave propagation, bacteria–phage interaction modelling, quantitative systems pharmacology, and network performance optimisation, often in interdisciplinary and industrial collaborations.
Administrative Responsibilities: Programme Director for MSc Mathematics and Data Science (AY 22/23, 23/24, 25/26) Treasurer of the Edinburgh Mathematical Society, chair its Finance and Investment Committee (2024–present) Deputy EDI lead in CSM (2025 –present) Computer Science and Mathematics Department representative at GUEP and Divisional Ethics Lead (2019 - 2023) Member of the Organising Committee and Editorial Board of the IEEE Days on Diffraction international conference proceedings (2008 - 2022). Assessment Coordinator (2014-2018) Student exchange coordinator (2012-2013)
I am interested in various applications of mathematical modelling related to the investigation of wave propagation in various multi-component/non-homogeneous/layered structures, including inverse problems in relations with PDEs, Wave focusing in unknown media, applied analysis of PDEs, global analysis, asymptotical methods and numerical analysis of wave propagation, distributions of eigenvalues of Laplacians, wave propagation in inhomogeneous elasticity, diffraction problems. I am also involved in a number of research projects with other disciplines, such as computer science, chemical engineering, pharmacology, and psychology.
Namely, my main research directions are: Inverse problems Focusing waves in unknown media Diffraction and wave propagation in the media with obstacles Cardiac modelling (beat-to-beat variability and heart failure) Game theoretical approach to Mobile Ad-hoc networks Optimisation of network performance Antibiotic resistance: biophages treatment
MathScieNet profile: https://mathscinet.ams.org/mathscinet/MRAuthorID/662810 ResearchGate Profile: https://www.researchgate.net/profile/Anna-Kirpichnikova
Treasurer of Edinburgh Mathematical Society
Edinburgh Mathematical Society
BAMC/BMC 2021 presentation
I gave a talk titled "Construction of artificial point sources for linear wave equation and application for inverse problems" at BAMC/BMC conference, 7.04.2021
I gave a talk at the annual international conference "Days on Diffraction 2021"
http://www.pdmi.ras.ru/~dd/
Presentation on the annual international conference "Days on Diffraction 2021".
We consider plane wave diffraction from a prolate body of revolution. The ray field is a solution to Helmholtz equation with either Dirichlet or Neumann boundary conditions. The field in the illuminated area was used to construct the wave field in the shadow zone. Numerical comparison of the currents and their asymptotics was presented between different zones around the obstacle.
Invited expert at QSP Workshop, Fields Institute, Toronto (online) July 2020
http://www.fields.utoronto.ca/…ystems-modelling
2020 Systems Modelling in the Pharmaceutical Industry - Problem Solving Workshop
This workshop aims to equip graduate students and postdoctoral fellows in mathematics and related disciplines with the tools necessary to solve common problems encountered in the pharmaceutical industry. The focus will be on development of pharmacometric skills to approach questions centred on drug development and dose/therapy optimization using a variety of state-of-the-art quantitative systems pharmacology (QSP) methodologies. Participants will receive training in QSP approaches, including the principles of pharmacokinetics and pharmacodynamics (PK/PD), from academic and industrial researchers, and will apply these techniques in groups to solve a set of problems brought by industry partners. At the end of the week, participants will be able to identify the main components of a pharmaceutical problem through a QSP lens, translate these elements mathematically, analyze/numerically implement and solve the resulting mathematical model, and deliver results (visually and textually) to non-mathematicians. Ultimately, participants will gain understanding into the factors that are key to mathematical modelling in the pharmaceutical industry and be trained in modern QSP approaches.
Due to Covid-19, this year we are holding a virtual seminar event on July 16 12.00-15.00 instead of one-week in-person workshop. Any plans for future one-week workshop in the summer of 2021 will be announced later in the year.
Invited Speaker at Uncertainty quantification in inverse problems
http://conf.ict.nsc.ru/uqim2016/en/scientific_program
Invited speaker RWAM-SE 2025 Retreat for Women in Applied Mathematics in South East Asia, Hanoi, Vietnam
International Centre for Mathematical Sciences
https://viasm.edu.vn/en/hdkh/RWAM2025
I was an invited speaker at the Retreat for Women in Applied Mathematics – South East Asia (RWAM-SE 2025), held at the Vietnam Institute for Advanced Study in Mathematics (VIASM) in Hanoi. This international event brought together researchers from across the UK and Southeast Asia to foster collaboration, share research in applied mathematics, and discuss challenges faced by women and under-represented groups in STEM. My contribution focused on mathematical modelling across complex media, biomedical systems, and network optimisation.
Invited talk on the EXPOWER Mid Term Meeting, Mariaspring, Germany
University of Stirling
https://expower.eu/
Served as an independent chair on a PhD viva
University of Stirling
I was a PhD independent chair during a PhD viva
Member of Scientific Organising Committee of the annual International conference
http://www.pdmi.ras.ru/~dd/
Member of the Editorial Board of the Proceedings of IEEE annual international conference
http://www.pdmi.ras.ru/~dd/proceedings.php
Member of the Editorial Board of the Proceedings of IEEE annual international conference Days on Diffraction
Research visit to Virtonomy
University of Stirling
https://www.virtonomy.io/
Research visit to industrial company under the EXPOWER project
Invited panel expert AMR event, Loughborough University
https://www.lboro.ac.uk/research/amr/
Invited panel expert in mathematical modelling on one of the events organised by Antimicrobial Resistance Research at Loughborough University
Invited panel expert at QPS event, the University of Oxford
Invited panel expert in mathematical modelling at Quantitative Systems Pharmacology (QSP) UK Satellite meeting on "Quantitative systems pharmacology: is there a case for model reduction?" at the University of Oxford, UK
Invited participant at Newton Institute, Cambridge, UK
https://www.newton.ac.uk/event/inv
Invited Project Lead at QSP Workshop, Fields Institute, Toronto, Canada, Aug 2019
http://www.fields.utoronto.ca/…systems-modeling
Invited Project Lead at Systems Modeling in the Pharmaceutical Industry - Problem Solving Workshop, Fields Institute, Toronto, Canada
Invited research visitor (host Prof Matti Lassas), December 2018, one week. University of Helsinki, Finland
Invited research visitor (host Prof Matti Lassas), one week. University of Helsinki, Finland
Invited research visitor (host Prof Matti Lassas), June 2019, one week. University of Helsinki, Finland
Invited research visitor (host Prof Matti Lassas), November 2018, one week. University of Helsinki, Finland
Invited research visitor (host Prof Matti Lassas), one week. University of Helsinki, Finland
Invited research visitor (Sapporo University, host Prof. Gen Nakamura)
Research visit to the university of Sapporo, Japan
Invited Research Visitor CalTech (host Prof. A. Borodin)
California Institute of Technology
Research visit
Invited reviewer for the special issue
Invited reviewer for the special issue at The Journal of Progress in Biophysics and Molecular Biology (PBMB) on 'Quantitative Systems Pharmacology (QSP): Methods and Tools'.
Research visit (host Dr Anna Sher, MD), Cambridge, Boston, USA
Member of Edinburgh Mathematical Society
Edinburgh Mathematical Society
Member of London Mathematical Society
London Mathematical Society
EXPOWER: EXPOnential Analysis EmPOWERing Innovation
PI: Dr Wen-shin Lee
Funded by: European Commission (Horizon 2020)
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Scottish Mathematical Sciences Training Centre New Module Development
PI: Dr Anna Kirpichnikova
Funded by: Scottish Mathematical Sciences Training Centre
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Women in Mathematics Day
PI: Dr Anna Kirpichnikova
Funded by: London Mathematical Society
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Article
Advanced manufacturing, formulation and microencapsulation of therapeutic phages
Malik DJ, Goncalves-Ribeiro H, Goldschmitt D, Collin J, Belkhiri A, Fernandes D, Weichert H & Kirpichnikova A (2023) Advanced manufacturing, formulation and microencapsulation of therapeutic phages. Clinical Infectious Diseases, 77 (Supplement 5), pp. S370-S383. https://doi.org/10.1093/cid/ciad555
Review
A Quantitative Systems Pharmacology perspective on the importance of parameter identifiability
Sher A, Niederer SA, Mirams GR, Kirpichnikova A, Allen R, Pathmanathan P, Gavaghan DJ, Van Der Graaf PH & Noble D (2022) A Quantitative Systems Pharmacology perspective on the importance of parameter identifiability. Bulletin of Mathematical Biology, 84 (3), Art. No.: 39. https://doi.org/10.1007/s11538-021-00982-5
Conference Paper (published)
Matching creeping waves with lit area diffraction field
Kirpichnikova A & Kirpichnikova N (2021) Matching creeping waves with lit area diffraction field. In: Motygin OV, Kiselev AP, Goray LI & Kirpichnikova AS (eds.) Proceedings of the International Conference "Days on Diffraction 2021", St. Petersburg, Russia. Days on Diffraction 2021, Saint-Petersburg, Russia, 31.05.2021-04.06.2021. IEEE Russia, pp. 98-102. http://www.pdmi.ras.ru/~dd/proceedings.php; https://doi.org/10.1109/DD52349.2021.9598659
Article
Construction of Artificial Point Sources for a Linear Wave Equation in Unknown Medium
Kirpichnikova A, Korpela J, Lassas M & Oksanen L (2021) Construction of Artificial Point Sources for a Linear Wave Equation in Unknown Medium. SIAM Journal on Control and Optimization, 59 (5), pp. 3737-3761. https://doi.org/10.1137/20M136904X
Article
MANET performance optimization using network-based criteria and unmanned aerial vehicles
Gromova E, Kireev S, Lazareva A, Kirpichnikova A & Gromov D (2021) MANET performance optimization using network-based criteria and unmanned aerial vehicles. Journal of Sensor and Actuator Networks, 10 (1), Art. No.: 8. https://doi.org/10.3390/jsan10010008
Conference Paper (published)
Creeping waves in the shadow region with the Dirichlet and Neumann conditions
Kirpichnikova A & Kirpichnikova N (2020) Creeping waves in the shadow region with the Dirichlet and Neumann conditions. In: Motygin O, Kiselev A, Goray L, Fedotov A, Ya Kazakov A & Kirpichnikova A (eds.) Proceedings of the International Conference Days on Diffraction 2019. Days on Diffraction 2019, St. Petersburg, Russia, 03.06.2019-07.06.2019. Piscataway, NJ: IEEE, pp. 89-93. https://doi.org/10.1109/DD46733.2019.9016422
Article
Transmission Power and effects on energy consumption and performance in MANET
Blakeway S, Kirpichnikova A, Schaeffer M & Secco EL (2019) Transmission Power and effects on energy consumption and performance in MANET. EAI Endorsed Transactions on Mobile Communications and Applications, 19 (16), Art. No.: e2. https://doi.org/10.4108/eai.13-7-2018.159336
Article
Kirpichnikova AS & Kirpichnikova NY (2019) Leontovich-Fock Parabolic Equation Method in the Neumann Diffraction Problem on a Prolate Body of Revolution. Journal of Mathematical Sciences, 238 (5), pp. 658-675. https://doi.org/10.1007/s10958-019-04265-2
Article
Blakeway S, Gromov D, Gromova E, Kirpichnikova A & Plekhanova T (2019) Increasing the performance of a Mobile Ad-hoc Network using a game-theoretic approach to drone positioning [Game Theoretic approach to increasing MANET performance]. Vestnik of Saint Petersburg University Applied Mathematics. Computer Science. Control Processes, 15 (1), pp. 22-38. http://vestnik.spbu.ru/ENG/s10.html
Conference Paper (published)
Kirpichnikova A & Kirpichnikova N (2018) Comparison of the currents in the Dirichlet and Neumann shortwave diffraction problems of a plane wave from smooth prolate bodies of revolution. In: Proceedings of the International Conference Days on Diffraction 2018. Days on Diffraction 2018, Saint-Petersburg, Russia, 04.06.2018-08.06.2018. St Petersburg: Institute of Electrical and Electronics Engineers, pp. 161-167. https://doi.org/10.1109/DD.2018.8553047
Article
Formulation, stabilisation and encapsulation of bacteriophage for phage therapy
Malik DJ, Sokolov IJ, Vinner GK, Mancuso F, Cinquerrui S, Vladisavljevic GT, Clokie MRJ, Garton NJ, Stapley AGF & Kirpichnikova A (2017) Formulation, stabilisation and encapsulation of bacteriophage for phage therapy. Advances in Colloid and Interface Science, 249, pp. 100-133. https://doi.org/10.1016/j.cis.2017.05.014
Conference Paper (published)
The strategic placement of mobile agents on a hexagonal graph using game theory
Plekhanova T, Gromova E, Gromov D, Blakeway S & Kirpichnikova A (2017) The strategic placement of mobile agents on a hexagonal graph using game theory. In: 2017 XXVI International Conference on Information, Communication and Automation Technologies (ICAT). 2017 XXVI International Conference on Information, Communication and Automation Technologies (ICAT), Sarajevo, Bosnia-Herzegovina, 26.10.2017-28.10.2017. Piscataway, NJ, USA: IEEE, pp. 1-6. https://doi.org/10.1109/icat.2017.8171635
Conference Paper (published)
An Analysis of MANET Routing Protocol Performance for an Interactive User Engaging Quiz
Walton J, Blakeway S & Kirpichnikova A (2016) An Analysis of MANET Routing Protocol Performance for an Interactive User Engaging Quiz. In: 2016 International Conference on Systems Informatics, Modelling and Simulation (SIMS). 2016 International Conference on Systems Informatics, Modelling and Simulation (SIMS), Riga, Latvia, 01.06.2016-03.06.2016. Piscataway, NJ, USA: IEEE, pp. 147-152. https://doi.org/10.1109/sims.2016.24
Conference Paper (published)
A Dynamic Game of Mobile Agent Placement in a MANET
Gromova E, Gromov D, Timonin N, Kirpichnikova A & Blakeway S (2016) A Dynamic Game of Mobile Agent Placement in a MANET. In: 2016 International Conference on Systems Informatics, Modelling and Simulation (SIMS). 2016 International Conference on Systems Informatics, Modelling and Simulation (SIMS), Riga, Latvia, 01.06.2016-03.06.2016. unpublished: IEEE. https://doi.org/10.1109/sims.2016.25
Article
Inverse boundary spectral problem for Riemannian polyhedra
Kirpichnikova A & Kurylev Y (2012) Inverse boundary spectral problem for Riemannian polyhedra. Mathematische Annalen, 354 (3), pp. 1003-1028. https://doi.org/10.1007/s00208-011-0758-9
Article
Kirpichnikova NY & Kirpichnikova AS (2012) Reflection and refraction from a vertical layer of surface SH waves radiated from a point source on a boundary free of tensions. Journal of Mathematical Sciences, 185 (4), pp. 596-604. https://doi.org/10.1007/s10958-012-0943-8
Article
Boundary layer method in the problem of far propagation of surface SV-waves
Kirpichnikova NY & Kirpichnikova AS (2011) Boundary layer method in the problem of far propagation of surface SV-waves. Journal of Mathematical Sciences, 175 (6), pp. 651-671. https://doi.org/10.1007/s10958-011-0381-z
Authored Book
Kirpichnikova A (2010) Inverse Problem for Anisotropic Riemannian Polyhedra: Inverse Boundary Spectral Problem for Piecewise Smooth Anisotropic Riemannian Polyhedra: Uniqueness. Berlin: VDE Verlag. https://www.omniscriptum.com/
Article
Focusing Waves in Unknown Media by Modified Time Reversal Iteration
Dahl MF, Kirpichnikova A & Lassas M (2009) Focusing Waves in Unknown Media by Modified Time Reversal Iteration. SIAM Journal on Control and Optimization, 48 (2), pp. 839-858. https://doi.org/10.1137/070705192
Article
Behavior of Gaussian beams in an anisotropic medium with interface
Kirpichnikova AS (2006) Behavior of Gaussian beams in an anisotropic medium with interface. Journal of Mathematical Sciences, 138 (2), pp. 5524-5542. https://doi.org/10.1007/s10958-006-0320-6
Article
Diffraction of the Electromagnetic Wave on a Small Obstacle of Elliptic Form in a Layer
Philippov VB, Kirpichnikova NY & Kirpichnikova A (2003) Diffraction of the Electromagnetic Wave on a Small Obstacle of Elliptic Form in a Layer. Journal of Mathematical Sciences, 117 (2), pp. 4028-4033. https://doi.org/10.1023/a%3A1024687313090
Article
Kirpichnikova NY, Philippov VB & Kirpichnikova A (2002) Diffraction of Electromagnetic Waves on an Impedance Interface between Two Media with Different Perturbations in Impedance. Journal of Mathematical Sciences, 111 (4), pp. 3678-3690. https://doi.org/10.1023/a%3A1016381808828
Article
Diffraction of Creeping Waves by a Line of Jump of Curvature (a Three-Dimensional Acoustic Medium)
Kirpichnikova NY, Philippov VB & Kirpichnikova A (2002) Diffraction of Creeping Waves by a Line of Jump of Curvature (a Three-Dimensional Acoustic Medium). Journal of Mathematical Sciences, 108 (5), pp. 689-702. https://link.springer.com/article/10.1023/A:1013247112086; https://doi.org/10.1023/a%3A1013247112086
Article
Diffraction by a line of curvature jump (a special case)
Kirpichnikova A & Philippov VB (2001) Diffraction by a line of curvature jump (a special case). IEEE Transactions on Antennas and Propagation, 49 (12), pp. 1618-1623. https://doi.org/10.1109/8.982437
Conference Paper (unpublished)
Diffraction of electromagnetic waves from the impedance with different perturbations
Kirpichnikova NY, Philippov VB & Kirpichnikova A (2000) Diffraction of electromagnetic waves from the impedance with different perturbations. International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450), Saint-Petersburg, Russia, 29.05.2000-01.06.2000. https://ieeexplore.ieee.org/document/902356/; https://doi.org/10.1109/dd.2000.902356
Conference Paper (unpublished)
Diffraction by a line of jump of curvature (a special case)
Kirpichnikova A & Philippov VB (2000) Diffraction by a line of jump of curvature (a special case). International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450), Saint-Petersburg, Russia, 29.05.2000-01.06.2000. https://ieeexplore.ieee.org/document/902357/; https://doi.org/10.1109/dd.2000.902357
Conference Paper (published)
Effects of diffraction of a creeping wave from a line of jump of curvature
Philippov VB, Kirpichnikova NY & Kirpichnikova A (1999) Effects of diffraction of a creeping wave from a line of jump of curvature. In: unknown. International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367), 01.06.1999-03.06.1999. Saint-Petersburg, Russia: IEEE, pp. 87-96. https://ieeexplore.ieee.org/document/816187/; https://doi.org/10.1109/dd.1999.816187
Teaching Responsibilities:
MATPMD3 Medical Modelling (2019 - 2023, 2026 -) design, updates, delivery MATU9N2 (2023, 2026) coordination, delivery MATU9D1 Discrete structures (2019, 2020, 2022) coordination, delivery MATU9RP Research project (2018 - 2024, 2026 -) supervision, sessions on Matlab and ethics MATU9JD Numerical analysis (2020, 2022, 2026 -) coordination, delivery, updates MATU9M3 Analysis I (Complex analysis part) (2018, 2019, 2020) delivery MATU9MD/SP Stochastic processes (2019, 2021, 2023) delivery PDMLU9L4 Data Skills (2018) delivery PDMLU9L5 Further Data Skills (2018) delivery
Personal Development and Training: New Lecturer and Teacher Programme (equivalent of PGCap). This is a two-year Master level Programme for the newly appointed lecturers. Fellowship of Higher Education Academy after completing (completed in August 2012). Equality and Diversity at Workplace; Fire training, GDRP (data protection) training, Autistic spectrum conditions; how do they impact on the student journey and what effective adjustments can be made? Psychology: An Introduction (20 credits, SCQF level 7), The psychology of addictions (20 credits, SCQF level 7), Introduction to Art Psychotherapy (40 credits, SCQF level 7).
