4. M. Bogoya and S.-E. Ekström.
A theoretical-based numerical algorithm for the spectrum of structured matrices.
Work in progress 50%.

3. M. Bogoya and S.M. Grudsky.
Asymptotic eigenvalue description for a family of Hermitian Toeplitz matrices with a generating function having a power singularity.
Work in progress 70%.

2. M. Bogoya, J. Cifuentes, L. Estupiñan, and A. Varela.
Elevation and climate conditions related to affectation syndrome of two species of frailejon (Asteraceae) in Colombia.
Work in progress 80%.

1. M. Bogoya and S.M. Grudsky.
The eigenvalues of non-Hermitian banded Toeplitz matrices approaching simple points of the limiting set.
Submitted on February 25th 2025 to Computational Mathematics and Mathematical Physics (Comp.Math.Phys.)

34. M. Bogoya, J. Gasca, and S.M. Grudsky.
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices.
Journal of Spectral Theory (J. Spectr. Theory) 15[1] (2025), 441--477.

DOI:10.4171/jst/538

33. M. Bogoya, A. Böttcher, and S.M. Grudsky.

Eigenvalues of Toeplitz matrices emerging from finite differences for certain ordinary differential operators.

Linear Algebra and its Applications (Linear Algebra Appl.) 706 (2025), 24--54.

DOI:10.1016/j.laa.2024.11.008

32. M. Bogoya, S.M. Grudsky, and S. Serra-Capizzano.
Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols.
Linear Algebra and its Applications (Linear Algebra Appl.) 697 (2024), 487--527.

DOI:10.1016/j.laa.2024.04.019

31. M. Bogoya, S.M. Grudsky, and S. Serra-Capizzano.
Fast non-Hermitian Toeplitz eigenvalue computations, joining matrix-less algorithms and FDE approximation matrices.
SIAM Journal on Matrix Analysis with Applications (SIAM J. Matrix Analysis Appl. or SIMAX) 45[1] (2024), 284--305.

DOI:10.1137/22M1529920

30. M. Bogoya, S.E. Ekström, S. Serra-Capizzano, and P. Vassalos.
Matrix-less methods for the spectral approximation of large non-Hermitian Toeplitz matrices: a concise theoretical analysis and a numerical study.
Numerical Linear Algebra with Applications (Numer. Linear Algebra Appl.) 31[4] (2024), e2545.

DOI:10.1002/nla.2545

29. M. Bogoya, S. Serra-Capizzano, and P. Vassalos.
Fast Toeplitz eigenvalue computations joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting.
Applied Mathematics and Computation (Appl. Math. Compt.) 466 (2024), 128483.

DOI:10.1016/j.amc.2023.128483

28. M. Bogoya, J. Gasca, and S.M. Grudsky.
Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum.
Journal of Mathematical Analysis and Applications (J. Math. Anal. Appl.) 531[1,2] (2024), 127816.

DOI:10.1016/j.jmaa.2023.127816

27. M. Bogoya, A. Böttcher, and S.M. Grudsky.
Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher–Hartwig symbols.
Journal of Mathematical Sciences (J. Math. Sci.) 271[2] (2023), 176--196.

DOI:10.1007/s10958-023-06362-9

26. M. Bogoya and S.M. Grudsky.

Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity.

Numerical Linear Algebra with Applications (Numer. Linear Algebra Appl.), 30[5] (2023), e2496.

DOI:10.1002/nla.2496

25. M. Bogoya, S.M. Grudsky, M. Mazza, and S. Serra-Capizzano.

On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems.

Linear & Multilinear Algebra (Linear Multilinear A.) 71[15] (2023), 2462--2473.

DOI:10.1080/03081087.2022.2105784

24. M. Bogoya, S.E. Ekström, and S. Serra-Capizzano.

Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory.

Numerical Algorithms (Numer. Algor.), 91[4] (2022), 1653--1676.

DOI:10.1007/s11075-022-01318-7

23. M. Bogoya, S.M. Grudsky, S. Serra-Capizzano, C. Tablino-Possio.

Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems.

BIT Numerical Mathematics (BIT), 62[4] (2022), 1417--1431.

DOI:10.1007/s10543-022-00916-0

22. M. Bogoya, S. Serra-Capizzano, and K. Trotti.

Upper Hessenberg and Toeplitz Bohemian matrix-sequences: A note on their asymptotical eigenvalues and singular values.

Electronic Transactions on Numerical Analysis (Electron. T. Numer. Ana.), 55 (2022), 76–91. 

DOI:10.1553/etna_vol55s76

21. L.D. Gómez, L.C. Jiménez, A. Pérez, R.A. Poutou, A. Pedroza, J. Salcedo, A. Vargas, and M. Bogoya.

LDPE transformation by exposure to sequential low-pressure plasma and TiO2/UV photocatalysis.

Molecules, 26[9] (2021), 2513.

DOI:10.3390/molecules26092513

20. A. Varela, A. Sandoval, M. Muñoz, A. Gómez, and M. Bogoya.

Evaluation of green roof structures and substrates for Lactuca sativa L. in tropical conditions.

Urban Forestry & Urban Greening (Urban For. Urban Gree.) 60 (2021), 127063.

DOI:10.1016/j.ufug.2021.127063

19. L. Uribe, M. Bogoya, A. Vargas, A. Lara, G. Rudolph, and O. Schütze.

A set based Newton method for the averaged Hausdorff distance for multi-objective reference set problems.

Mathematics, 8[10] (2020), 1822.

DOI:10.3390/math8101822

18. M. Bogoya, A. Vargas, and O. Schütze.

The averaged Hausdorff distances in multi-objective optimization: A review.

Mathematics, 7[10] (2019), 894.

DOI:10.3390/math7100894

17. M. Bogoya, S.M. Grudsky, and I.S. Malysheva.

Extreme individual eigenvalues for a class of large Hessenberg Toeplitz matrices.

Operator Theory: Advances and Applications (Oper. Theory: Adv. Appl.), 271 (2018), 119–143.

DOI:10.1007/978-3-030-04269-1_4

16. M. Bogoya, A. Vargas, O. Cuate, and O. Schütze.

A (p,q)-averaged Hausdorff distance for arbitrary measurable sets.

Mathematical & Computational Applications (Math. Comput. Appl.), 23[3] (2018), 51. 

DOI:10.3390/mca23030051

15. L.D. Gómez, D.A. Moreno, R.A. Poutou, J.C. Salcedo, A.M. Pedroza, A. Vargas, and M. Bogoya.

Biodeterioration of plasma pretreated LDPE sheets by Pleurotus ostreatus.

Plos One, 13[9] (2018), e0203786.

DOI:10.1371/journal.pone.0203786

14. M. Bogoya and A. Vargas.

A generalization of the averaged Hausdorff distance.

Computación y Sistemas (Comput. y Sist.), 22[2] (2018), 331–345.

DOI:10.15446/10.13053/CyS-22-2-2950

13. M. Bogoya, J.D. Bogoya, and A.J. Peñuela.

Value-added in higher education: ordinary least squares and quantile regression for a Colombian case.

Ingeniería & Investigación (Ing. Invest.), 37[3] (2017), 30–36. 

DOI:10.15446/ing.investig.v37n3.61729

12. A. Böttcher, M. Bogoya, S.M. Grudsky, and E.A. Maximenko.

Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices.

Sbornik Mathematics (Sb. Math.), 208[11] (2017), 1578–1601.

DOI:10.1070/SM8865

11. M. Bogoya, S.M. Grudsky, and E.A. Maximenko.

Eigenvalues of Hermitian Toeplitz matrices generated by simple-loop symbols with relaxed smoothness.

Operator Theory: Advances and Applications (Oper. Theory: Adv. Appl.), 259 (2017), 179–212.

DOI:10.1007/978-3-319-49182-0_11

10. M. Bogoya, A. Böttcher, and E.A. Maximenko.

From convergence in distribution to uniform convergence.

Boletín de la Sociedad Matemática Mexicana (Bol. Soc. Mat. Mex.), 22[2] (2016), 695–710.

DOI:10.1007/s40590-016-0105-y

9. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maximenko.

Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols.

Linear Algebra and its Applications (Linear Algebra Appl.), 493 (2016), 606–637.

DOI:10.1016/j.laa.2015.12.017

8. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maximenko.

Maximum norm versions of the Szegő and Avram–Parter theorems for Toeplitz matrices.

Journal of Approximation Theory (J. Approx. Theory), 196 (2015), 79–100.

DOI:10.1016/j.jat.2015.03.003

7. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maximenko.

Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols.

Journal of Mathematical Analysis and Applications (J. Math. Anal. Appl.), 422[2] (2015), 1308–1334.

DOI:10.1016/j.jmaa.2014.09.057

6. M. Bogoya, J.D. Bogoya.

An academic value-added mathematical model for higher education in Colombia.

Ingeniería & Investigación (Ing. Invest.), 33[2] (2013), 63–68.

DOI:10.15446/ing.investig

5. M. Bogoya, A. Böttcher, and A. Poznyak.

Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries.

Journal of Spectral Theory (J. Spectr. Theory), 2[3] (2012), 267–292.

DOI:10.4171/JST/29

4. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maksimenko.

Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff.

Linear Algebra and its Applications (Linear Algebra Appl.), 436[9] (2012), 3480–3492.

DOI:10.1016/j.laa.2011.12.012

3. M. Bogoya, A. Böttcher, and S.M. Grudsky.

Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices.

Operator Theory: Advances and Applications (Oper. Theory: Adv. Appl.), 220 (2012), 77–96.

DOI:10.1007/978-3-0348-0346-5_5

2. M. Bogoya, A. Böttcher, S.M. Grudsky, and E.A. Maksimenko.

Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities.

Communications in Mathematical Analysis (Commun. Math. Anal.), 3 (2010), 23–41.

http://www.math-res-pub.org/cma/proceedings/3

1. M. Bogoya and C. Montenegro.

A weak form of choice for the standard binary tree.

Revista Colombiana de Matemáticas (Rev. Colomb. de Mat.), 40[2] (2006), 111–117.

http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262006000200005

• Ph.D. Mathematics
  Sep. 2008 - Dec. 2010
  Department of Mathematics, CINVESTAV, México D.F.-México

• M.Sc. Mathematics
  Sep. 2006 - Jul. 2008
  Department of Mathematics, CINVESTAV, México D.F.-México

• B.S. Mathematics
  Jan. 1995 - Dec. 2001
  Department of Mathematics, Uniandes, Bogotá-Colombia

• B.S. Mechanical Engineer
  Jan. 1995 - Jun. 2001
  Department of Mechanical Engineering, Uniandes, Bogotá-Colombia

Undergraduate Teaching

1999–2006. Universidad de los Andes (15 courses)

• Geometry (2006-I)

• Probability and Statistics (2006-I)

• Discrete Mathematics (2005-II)

• Pre-calculus (2002-I)

• Differential Calculus (2002-I, 2002-II, 2003-I, 2005-I) 6. Integral Calculus (2003-II, 2006-II)

• Multi-variable Calculus (2005-II, 2006-I, 2006-II)

• Linear Algebra (1999-II, 2002-I)

2011–2020. Pontificia Universidad Javeriana (45 courses)

• Mathematical Fundamentals I (2011-I)

• Mathematical Fundamentals II (2011-II, 2016-I, 2016-II)

• Differential Calculus (2012-I, 2015-I, 2016-I, 2018-II)

• Integral Calculus (2011-I, 2011-II, 2012-II, 2013-II, 2014-I, 2015-II)

• Multi-variable Calculus (2013-I, 2013-II, 2014-I, 2016-II, 2017-I, 2017-II)

• Linear Algebra (2012-II)

• Abstract Algebra (2018-I)

• Mathematical Analysis I (2013-I, 2014-I, 2014-II)

• Mathematical Analysis II (2011-II, 2012-I, 2013-II, 2017-II, 2018-I, 2018-II)

• Measure Theory (2015-I, 2015-II, 2020-I, 2020-II)

• Topology (2016-I, 2016-II, 2017-I, 2017-II)

• Asymptotic Analysis (2017-I, 2018-I)

• Complex Analysis (2018-II, 2019-I, 2019-II)

• Functional Analysis (2019-I)

2022–today. Universidad del Valle (12 courses)

• Mathematical Analysis II (2022-I)

• Functional Analysis for Physicists (2022-I)

• Linear Algebra (2022-II, 2023-I)

• Differential Calculus (2025-I)

• Integral Calculus (2024-II)

• Multi-variable Calculus (2023-I, 2023-II (2), 2024-I)

• Measure Theory (2024-I, 2025-I)

Graduate Teaching

2019–2020. Pontificia Universidad Javeriana (3 courses)

• Complex Analysis (2019-II)

• Abstract Algebra (2020-I)

• Functional Analysis (2020-II)

2022–today. Universidad del Valle (1 course)

• Complex Analysis (2024-II)

• Jul. 2023 - Today
  Universidad del Valle, Department of Mathematics, Cali-Colombia
  Associate professor

• Mar. 2022 - Jul. 2023
  Universidad del Valle, Department of Mathematics, Cali-Colombia
  Assistant professor

• Aug. 2021 - Sep. 2022
  Università degli Studi dell’Insubria, Department of Science and High Technology, Como-Italy
  Researcher

• Jan. 2016 - Dec. 2020
  Pontificia Universidad Javeriana, Department of mathematics, Bogotá-Colombia
  Associated professor

• Jan. 2011 - Dec. 2015
  Pontificia Universidad Javeriana, Department of mathematics, Bogotá-Colombia
  Assistant professor

• Jan. 1999 - Jun. 1999
  ECOPETROL S.A., Barrancabermeja-Colombia
  Dating and performing controls and statics for hydro pumps

• Aug. 1999 - Jul. 2006
  Universidad de los Andes, Department of mathematics, Bogotá-Colombia
  Lecturer