The bracket polynomial of the Celtic link shadow \(CK_4^{2n}\)
Franck Ramaharo (2025), "The bracket polynomial of the Celtic link shadow \(CK_4^{2n}\)", arXiv.org e-Print archive, arXiv:2508.10410 [math.GT].
CV
Download link for the French version | English version
Education
- MAs. in Development Economics, University of Clermont Auvergne, France, 2025
- MSc. in Mathematics, University of La Reunion, France, 2020
- MRes. in Mathematics and Computer Science, University of Antananarivo, Madagascar, 2013
- BSc. in Mathematics, University of Antananarivo, Madagascar, 2009
Work experience
- Since June 2017: Research Official, Ministry of Economy and Finance, Madagascar
- My duties include macroeconomic modeling and forecasting. For the forecasting exercise, I developed mixed-frequency data sampling (MIDAS) models, and together with Gerzhino Rasolofomanana, we implemented machine learning algorithms for nowcasting purposes.
- I also contributed to the development of the Roadmap on the Demographic Dividend in Madagascar.
- July 2016: Deputy Leader in the 57th International Mathematical Olympiad (IMO 2016)
- I was in charge of the Malagasy team for Madagascar’s first participation in the 57th International Mathematics Olympiad in Hong Kong.
- From December 2014 to August 2020: Part-time Teaching and Research Assistant, University of Antananarivo, Madagascar
- I provided tutoring in Numerical Calculus for second-year Mathematics students.
- Between 2014 and 2018, I served as a Research Scholar at the Center for Economic Studies of the University of Antananarivo. My research involved developing programs to convert LaTeX equations into Dynare code, as well as designing and calibrating DSGE (Dynamic Stochastic General Equilibrium) models tailored to Madagascar’s economy.
- Apart from my teaching responsibilities, I also worked part-time at the Department of National Exams of the University of Antananarivo. From 2015 to 2018, I regularly served as the Chief Center for the Baccalaureate Exam in different districts, and in 2019, I took on the role of Supervisor.
- From Mars 2011 to February 2015: Content & SEO Assistant
- I initially worked as a SEO (Search Engine Optimization) intern at IIS Madagascar, and later, for four years, I took on freelance SEO projects. My tasks primarily involved managing blogs and strategically placing links across various platforms.
Publications
Does economic growth drive energy consumption in Madagascar? Fresh empirical evidence
Franck Ramaharo (2024), "Does economic growth drive energy consumption in Madagascar? Fresh empirical evidence", Social Science Open Access Repository, No. 96544, GESIS Leibniz Institute for the Social Sciences.
LMDI decomposition and macroeconomic drivers of electricity intensity in Madagascar
Franck Ramaharo (2024), "LMDI decomposition and macroeconomic drivers of electricity intensity in Madagascar", SocArXiv Papers, No. gc5qe, Center for Open Science.
The macroeconomic determinants of renewable energy consumption in Madagascar: Evidence from an Autoregressive Distributed Lag modeling approach
Franck Ramaharo and Yves Razanajatovo (2024), "The macroeconomic determinants of renewable energy consumption in Madagascar: Evidence from an Autoregressive Distributed Lag modeling approach", AfricArXiv Preprints, No. dfk2c, Center for Open Science.
Nowcasting Madagascar’s real GDP using machine learning algorithms
Franck Ramaharo and Gerzhino Rasolofomanana (2023), "Nowcasting Madagascar's real GDP using machine learning algorithms", AfricArXiv Preprints, No. vpuac, Center for Open Science.
The impact of energy demand on economic growth: A new empirical evidence for Madagascar
Franck Ramaharo, Yves Razanajatovo, Fabienne Ravelomanantsoa, Melodia Ramarosandratana, and Emanuella Aljaona (2024), "The impact of energy demand on economic growth: A new empirical evidence for Madagascar", Cambridge Open Engage, Cambridge University Press.
Determinants of renewable energy consumption in Madagascar: Evidence from feature selection algorithms
Franck Ramaharo and Fitiavana Randriamifidy (2023). "Determinants of renewable energy consumption in Madagascar: Evidence from feature selection algorithms", Social Science Open Access Repository, No. 90206, GESIS Leibniz Institute for the Social Sciences .
Les modèles macroéconomiques en usage à Madagascar
Franck Ramaharo, Yves Razanajatovo and Emanuella Aljaona (2023), "Les modèles macroéconomiques en usage à Madagascar", HAL Open Science, hal-04174445, Centre pour la Communication Scientifique Directe.
Principal component regression analysis of electricity consumption factors in Madagascar
Franck Ramaharo and Njakanasandratra Rajaonarison (2023). "Principal component regression analysis of electricity consumption factors in Madagascar", MPRA Paper, No. 116142, University Library of Munich, Germany.
The 2019 Merged model for Madagascar
Franck Ramaharo (2022). "The 2019 Merged model for Madagascar", MPRA Paper, No. 115226, University Library of Munich, Germany.
A simple macroeconomic framework for Madagascar
Franck Ramaharo (2022). "A simple macroeconomic framework for Madagascar", MPRA Paper, No. 112114, University Library of Munich, Germany.
A simplified macroeconomic framework
Franck Ramaharo (2020). "A simplified macroeconomic framework", MPRA Paper, No. 102086, University Library of Munich, Germany.
A bracket polynomial for 2-tangle shadows
Franck Ramaharo (2020), "A bracket polynomial for 2-tangle shadows", arXiv e-Print archive, arXiv:2002.06672 [math.CO].
Note on sequences A123192, A137396 and A300453
Franck Ramaharo (2018), "Note on sequences A123192, A137396 and A300453", arXiv e-Print archive, arXiv:1911.04528 [math.CO].
A generating polynomial for the two-bridge knot with Conway’s notation C(n,r)
Franck Ramaharo (2019), "A generating polynomial for the two-bridge knot with Conway's notation C(n,r)", arXiv e-Print archive, arXiv:1902.08989 [math.CO].
A one-variable bracket polynomial for some Turk’s head knots
Franck Ramaharo (2018), "A one-variable bracket polynomial for some Turk's head knots", arXiv e-Print archive, arXiv:1807.05256 [math.CO].
A generating polynomial for the pretzel knot
Franck Ramaharo (2018), "A generating polynomial for the pretzel knot", arXiv e-Print archive, arXiv:1805.10680 [math.CO].
Statistics on some classes of knot shadows
Franck Ramaharo (2018), "Statistics on some classes of knot shadows", arXiv e-Print archive, arXiv:1802.07701 [math.CO].
An approximate Jerusalem square whose side equals a Pell number
Franck Ramaharo (2018), "An approximate Jerusalem square whose side equals a Pell number", arXiv e-Print archive, arXiv:1801.00466 [math.CO].
Enumerating the states of the twist knot
Franck Ramaharo (2017), "Enumerating the states of the twist knot", arXiv e-Print archive, arXiv:1712.06543 [math.CO].
A state enumeration of the foil knot
Franck Ramaharo and Fanja Rakotondrajao (2017), "A state enumeration of the foil knot", arXiv e-Print archive, arXiv:1712.04026 [math.CO].
Miscellaneous
In my free time, I enjoy exploring various creative hobbies.
- Handcrafts : Some of my earlier creations are still available to view here.
- Modular Origami : You can explore my blog featuring my folding projects here.
- Sixties and Rock Music : I am fascinated by the culture and music of the 1960s, especially rock music. In the past, I ran a Tumblr blog where I curated and reblogged stunning black-and-white and color photographs from that era. While the blog is now outdated, it remains accessible here.