Bibliometrics

Mathematical research should be assessed primarily through its content: correctness, originality, depth, and significance, judged by informed peers. Publication counts and citation statistics can supply contextual information, but cannot replace a qualitative assessment of the mathematics itself.

I endorse the principles set out in the following documents:

• IMU–ICIAM–IMS (2008), Citation Statistics. The report documents the limits and frequent misuse of citation-based indicators, including journal impact factors and the h-index.
• European Mathematical Society (2025), Code of Practice for Mathematical Publication. The code sets out standards for research integrity, accurate attribution, responsible authorship, and the avoidance of citation manipulation.

Accordingly, the figures below are provided for transparency and administrative use, not as a ranking of researchers or a measure of the scientific merit of their work.

• For information on the Italian National Scientific Habilitation, see: Abilitazione Scientifica Nazionale.
• If you consider science a collaborative effort rather than a competitive one, you may also be interested in: The Slow Science Manifesto.

A manually curated snapshot of bibliometric databases. Sources differ in coverage and update schedules; their figures are not directly comparable.

• Coverage and discrepancies: Database records do not always consolidate citations to an arXiv preprint with those to its published version. In some cases, citations visible for a preprint are absent from the corresponding Scopus or Web of Science record. Google Scholar and ResearchGate may also include theses, presentations, preprints, and other documents outside the scope of those databases.
• ASN relevance: Scopus and Web of Science are relevant to the bibliometric ASN procedures. The figures above are personal records, not official ASN indicators or a calculation of eligibility thresholds. For an example of the indexing issue, see the Scopus support correspondence.
• Manual updates: Data are checked by hand and stored in bibliometric-data.json. Public APIs are limited or restricted for several of these services; transcription errors and incomplete coverage remain possible.
• Experimental scraping: Test scripts for Google Scholar and Scopus.

• Method: The local counts are calculated from citation-data.json, a manually maintained record assembled by checking the sources above. DOI availability is used as a practical counting filter, not as proof that an item has undergone peer review. Some references without a DOI may still appear in the descriptive list below.
• Limitations: The record may be incomplete, and some citing papers are co-authored by me or by co-authors of the cited work. Citation counts do not indicate whether a reference is substantive, favourable, or incidental.

1. Measurement-based uncomputation of quantum circuits for modular arithmetic
   A. Luongo, A. M. Miti, V. Narasimhachar, A. Sireesh
   DOI: 10.1109/DAC63849.2025.11132981
   1. A comprehensive study of quantum arithmetic circuits
      S. Wang, X. Li, W. J. B. Lee, S. Deb, E. Lim, A. Chattopadhyay
      DOI: 10.1098/rsta.2023.0392
   2. Optimization by decoded quantum interferometry
      S. P. Jordan, N. Shutty, M. Wootters, A. Zalcman, A. Schmidhuber, R. King, S. V. Isakov, T. Khattar, R. Babbush
      DOI: 10.1038/s41586-025-09527-5
   3. Optimized quantum algorithms for simulating the Schwinger effect
      A. Kan, J. Lemieux, O. Okrut, B. Şahinoğlu
      DOI: 10.1103/ps29-tshk
   4. Optimizing windowed arithmetic for quantum attacks against elliptic curve cryptography
      A. Luongo, V. Narasimhachar, A. Sireesh
      DOI: 10.1109/DAC63849.2025.11132436
   5. Method and Algorithm for Interbase Conversion of Rademacher Binary Codes into Christensen Residue Codes
      Y. Nikolaychuk, I. Pitukh, V. Hryha, Y. Bezgachnyuk
      DOI: 10.1007/s10559-026-00860-9
   6. Algorithmic Foundations of Modular Arithmetic for Determining Sample Mathematical Expectation
      I. Pitukh
      DOI: 10.1007/s10559-026-00841-y
   7. Quantum Carry-Save Modular Addition with Optimized Depth and Resource Utilization
      S. Wang, E. Lim, X. Li, J. Feng, A. Chattopadhyay
      DOI: 10.1007/978-3-032-09575-6_2
   8. Quantum Uncomputation of Clean and Dirty Ancilla Qubits
      C. Liu, L. Zhou, B. Meng
      DOI: 10.1145/3839528
   9. Method and Software-Information Model for Converting Rademacher Multi-Digit Decimal Numbers into Residue Codes in the Chrestenson Basis
      Y. Nikolaychuk, I. Pitukh, V. Hryha, Y. Bezgachnyuk
      DOI: 10.1007/s10559-026-00923-x
2. Reduction of L(infty)-Algebras of Observables on Multisymplectic Manifolds
   C. Blacker, A. M. Miti, L. Ryvkin
   DOI: 10.3842/SIGMA.2024.061
   1. Covariant canonical formulations of classical field theories
      F. Gieres
      DOI: 10.21468/SciPostPhysLectNotes.77
   2. More Insights into Symmetries in Multisymplectic Field Theories
      A. Guerra IV, N. Román-Roy
      DOI: 10.3390/sym15020390
   3. Multisymplectic observable reduction using constraint triples
      A. M. Miti, L. Ryvkin
      DOI: 10.1016/j.difgeo.2025.102272
   4. Constraint vector bundles and reduction of Lie (bi-)algebroids
      M. Dippell, D. Kern
      DOI: 10.1016/j.difgeo.2025.102242
   5. Reduction and reconstruction of multisymplectic Lie systems
      J. de Lucas, X. Gràcia, X. Rivas, N. Román-Roy, S. Vilariño
      DOI: 10.1088/1751-8121/ac78ab
   6. A description of classical field equations using extensions of graded Poisson brackets
      M. de Leon, R. Izquierdo-Lopez
      DOI: 10.1142/S0219887826502439
   7. Reduction Of Poisson Manifolds With Hamiltonian Lie Algebroids
      Y. Hirota, N. Ikeda
      DOI: 10.1016/S0034-4877(25)00063-1
3. Observables on multisymplectic manifolds and higher Courant algebroids
   A. M. Miti, M. Zambon
   DOI: 10.1142/S0219199725500063
   1. Infinitesimal symmetries of bundle gerbes and Courant algebroids
      D. Djounvouna, D. Krepski
      DOI: 10.1007/s10711-024-00897-0
   2. Compatible E-differential forms on Lie algebroids over (pre-)multisymplectic manifolds
      N. Ikeda
      DOI: 10.3842/SIGMA.2024.025
4. Multisymplectic actions of compact Lie groups on spheres
   A. M. Miti, L. Ryvkin
   DOI: 10.4310/JSG.2020.v18.n6.a6
   1. Hamiltonian dynamics and geometry on the two-plectic six-sphere
      M. Wagner, T. Wurzbacher
      DOI: accepted
5. Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization
   A. M. Miti, M. Spera
   DOI: 10.1007/s40574-020-00254-5
   1. A hydrodynamical homotopy co-momentum map and a multisymplectic interpretation of higher-order linking numbers
      A. M. Miti, M. Spera
      DOI: 10.1017/S1446788720000518
6. Multisymplectic observable reduction using constraint triples
   A. M. Miti, L. Ryvkin
   DOI: 10.1016/j.difgeo.2025.102272
   1. Reduction of L∞-algebras of observables on multisymplectic manifolds
      C. Blacker, A. M. Miti, L. Ryvkin
      DOI: 10.3842/SIGMA.2024.061
7. Homotopy comomentum maps in multisymplectic geometry
   A. M. Miti
   DOI: No DOI
   1. Actions of Lie 2-algebras and comomentum maps
      P. Bonneau, V. Chloup, A. Gammella-Mathieu, T. Wurzbacher
      DOI: 10.1007/s11005-026-02154-9