Mohammad M. Amirian

Applied mathematics · Statistics · Ocean science

Understanding the ocean through mathematics and data.

I study phytoplankton physiology, marine primary production, and ocean carbon cycling—connecting mechanistic models, statistical inference, and machine learning with observations.

Conceptual illustration of turquoise phytoplankton-like swirls in deep blue ocean water
From cells to the ocean

Small organisms,
planetary significance.

Current appointment

Postdoctoral Fellow · CUNYNew York City College of Technology

Based in

Brooklyn, New YorkUnited States

Living systems.
Mathematical questions.

My work connects biological mechanisms with the patterns we observe in the ocean. I develop models that explain how organisms respond to their environment and methods that quantify what we can learn from marine data.

Light & phytoplankton

Modelling photosynthetic responses to light, including photoinhibition and environmental variability, to understand their consequences for marine primary production.

PhotophysiologyPrimary production
Read the photoinhibition paper

Ocean carbon & uncertainty

Developing statistical and machine-learning approaches for surface-ocean pCO₂ reconstruction, with a focus on predictive uncertainty and probabilistic methods.

Machine learningCarbon cycling
Explore related publications

Biological dynamics & memory

Using fractional calculus and differential equations to study how past conditions influence microbial growth, ecological interactions, and complex biological dynamics.

Mechanistic modelsFractional calculus
Read the microbial memory paper

Papers & ongoing work

Google Scholar

20 works

2026

A macromolecular evaluation of the growth rate hypothesis in the ocean

ZV Finkel, AJ Irwin, MM Amirian, S Sharoni, MJ Follows

Proceedings BAccepted
2026

Learning Calibrated and Samplable Predictive Distributions of Surface-Ocean Δ pCO₂ Using Tabular Diffusion Models

G Accarino, MM Amirian, TH Heimdal, AR Fay, GA McKinley, V Acquaviva

RPS Workshop, NeurIPS 2026Accepted
2026

Low proteomic investment in carbon fixation facilitates the success of Phaeocystis in the Labrador Sea

SB Pollara, ME Roberts, R Stevens-Green, J LaRoche, L Jabre, E Rowland, CE McBride, RE Sipler, S Clay, E Devred, MM Amirian, ZV Finkel, AJ Irwin, J Young, M Mars-Brisbin, EM Bertrand

The ISME JournalUnder review
2026

Ecophysiological modeling of marine photosynthesis: a hybrid model

MM Amirian, P Fahimi, ZV Finkel, E Devred, S Clay, AJ Irwin

In preparation
2026

Latitudinal, Seasonal, and Diel Variation in Marine Phytoplankton Photophysiology and Its Effects on Net Primary Production

MM Amirian, E Devred, V Acquaviva, ZV Finkel, AJ Irwin

In preparation

Tools for ocean science.

Open research resources for studying phytoplankton photosynthesis—from fitting individual light-response curves to analysing measurements across marine environments.

Open-source R package

piCurve

Fit and analyse photosynthesis–irradiance curves, including photoinhibition. Estimate surface irradiance and phytoplankton absorption within a common workflow.

Marine photosynthesis dataset

piData

A compilation of photosynthesis–irradiance measurements from ¹⁴C incubation experiments, developed for Fisheries and Oceans Canada.

More research code on GitHub.

A path through
mathematics & the ocean.

My background spans pure and applied mathematics, statistics, and oceanography. I now bring these perspectives together in research on marine ecosystems and ocean carbon.

Full curriculum vitae
Academic appointments
2025 — 2026

Postdoctoral Fellow

Dalhousie University, Canada
Marine Microbial Macroecology Lab

Department of Oceanography. Phytoplankton photophysiology, environmental variability, and development of piData and piCurve.

Education
2013 — 2016

Master’s in Applied Mathematics

Tarbiat Modares University, Iran

Thesis: Fractional Calculus Models of Complex Dynamics in Biological Elements.

2009 — 2013

Bachelor’s in Pure Mathematics

Malayer University, Iran

Awards, distinctions & academic service

Scholarships & support

  • 2022 · Travel Grant
    Faculty of Graduate Studies, Dalhousie University.
  • 2019 · Doctoral research assistantship
    Department of Mathematics and Statistics, Dalhousie University; support over 4.5 years.
  • 2019 · Biomedicine Discovery Scholarship
    Monash University. Awarded; not taken up.
  • 2019 · Tuition Fee Scholarship
    University of New South Wales. Awarded; not taken up.

Top 3% nationally · Konkour

In Iran’s 2013 National M.Sc. Entrance Examination, ranked 237th in applied mathematics and 261st in pure mathematics among 9,230 candidates.

Journal peer review

Environmental Management; Ecological Informatics; Qualitative Theory of Dynamical Systems; Scientific Reports; Biogeosciences.

Conference contributions & workshops

Workshops & tutorials

Modelling Primary Production · Split, CroatiaFaculty of Science. Tutorial on piCurve and a research talk on phytoplankton photoinhibition modelling.

Modelling Primary Production · New York, USAFlatiron Institute. Joint presentation with Andrew Irwin on quantifying the effects of photoinhibition on photosynthetic rate.

Conference contributions

MM Amirian, G Accarino, V Acquaviva, Improving Global Ocean Surface pCO₂ Prediction Using Biogeographic Residual Correction, American Geophysical Union

G Accarino, MM Amirian, V Acquaviva, Beyond Point Predictions: Diffusion-Based Probabilistic Reconstruction of Global Surface Ocean pCO₂, American Geophysical Union

MM Amirian, E Devred, S Clay, Z Finkel, AJ Irwin. A compilation of photosynthetic rate incubation experiments and analysis using common models CBIOMES Annual Meeting, Flatiron Institute, NY, USA.

MM Amirian, P Fahimi, Z Finkel, E Devred, S Clay, AJ Irwin. Ecophysiological Modeling of Marine Photosynthesis. Ocean Science Meeting .

MM Amirian, P Fahimi, Z Finkel, E Devred, S Clay, AJ Irwin. Ecophysiological Modeling of Marine Photosynthesis. CBIOMES Annual Meeting, Flatiron Institute, NY, USA.

K Kam, E Devred, S Clay, MM Amirian, AJ Irwin, D Atamanchuk, D.W.R Wallace. Re-evaluating methodologies for estimating marine primary productivity in the Labrador Sea using satellite and in situ observations Ocean Optics Conference.

MM Amirian, JT Siddons, AJ Irwin. Extending the Monod model of microbial growth with memory and an application to phytoplankton community dynamics. ASLO Meeting.

MM Amirian, Z Finkel, AJ Irwin. A New Model of Phytoplankton Photoinhibition. CDOGS Annual Meeting, Dalhousie.

MM Amirian, JT Siddons, AJ Irwin. Quantify the Cell Memory and Its Influence on Phytoplankton Resource Competition. CBIOMES Annual Meeting, Flatiron Institute, NY, USA.

MM Amirian, AJ Irwin. Extending the Monod Model of Microbial Growth with Memory. CBIOMES Annual Meeting, Flatiron Institute, NY, USA.

MM Amirian, AJ Irwin. A New Mechanistic Growth Model: Monod-Memory. CBIOMES Annual Meeting, Flatiron Institute, NY, USA.

MM Amirian, Y Jamali. Fractional Calculus Applied to Model Cell Viscoelasticity. 22nd Iranian Conference on Biomedical Engineering (ICBME) - Mathematics in Biomedical Engineering.

MM Amirian, Y Jamali. Prediction of Local Measurement of Cell Viscoelasticity with Fractional Calculus Approach. 3rd Dubai International Conference on New Approaches in Sciences Engineering & Technology, 2015 December 9-10 Zayed University.

MM Amirian, A Mazarei. Prediction of Action Potential in Neuron with Fractional Calculus Approach. 3rd Dubai International Conference on New Approaches in Sciences Engineering & Technology, Zayed University, December 9–10.

Technical expertise & languages

Programming & scientific computing

R (advanced); working knowledge of Python, Julia, and MATLAB. Differential-equation modelling, parallel computing, data processing, and visualisation.

Research tools & languages

LaTeX, Jupyter, and Pluto.
Farsi (native); English (fluent).

Statistical modelling

Generalised additive models, mixed-effects models, Bayesian modelling, regularisation, and nonlinear model fitting.

Machine learning

Predictive modelling with tidymodels, XGBoost, random forests, and kernel methods.

Sharing ways
to think quantitatively.

My teaching spans introductory statistics, probability, mathematical modelling, and data science. My mentoring connects mathematical methods with questions in marine science and biological dynamics.

Course instructor · Dalhousie University

STAT 1060
Introductory Statistics for Science and Health Sciences

Summer 2024 · Fall 2025, sections 01 & 02

Teaching assistant roles
  • 2022–2024 · STAT 2060
    Introduction to Probability and Statistics.
  • 2022, 2024 · STAT 1060
    Introductory Statistics for Science and Health Sciences.
  • 2021 · MATH 1290 & MATH 2300
    Engineering Mathematics II; Mathematical Modeling.
  • 2020 · STAT 2450
    Introduction to Data Mining with R.
Research supervision

2026 — present · Columbia University

Co-mentor, master’s student

Symbolic regression methods for global pCO₂ reconstruction.

2025 — present · Dalhousie University

Research mentor, PhD student

Quantifying mathematical sources of uncertainty in net primary production estimates.

2023 · Independent researcher

Research supervisor

Fractional-order models of neural dynamics and stability analysis. This collaboration resulted in a publication in Cognitive Neurodynamics.

Meetings & milestones.

Conversations, collaborations, and a PhD defence—moments from my research journey in mathematics and ocean science.

LEAP 6th Annual Meeting

Learning the Earth with Artificial Intelligence & Physics

Hosted by LEAP, an NSF Science and Technology Center based at Columbia University, bringing together the Earth science, artificial intelligence, and physics communities.

2026 CBIOMES Annual Meeting

Simons Foundation · New York City

An opportunity to consolidate ideas and collaborations as CBIOMES approaches its tenth and final year.

Machine Learning for Time-Series Data

CBIOMES workshop · New York City & online

As machine learning plays a growing role in ocean science, CBIOMES researchers met to advance shared tools for modelling the ocean’s dynamic biological systems.

Modelling Primary Production

Faculty of Science · Split, Croatia

A workshop on modelling primary production, including my piCurve tutorial and a research talk on phytoplankton photoinhibition.

PhD defence

Dalhousie University · Halifax, Canada

Defending my PhD in Statistics: Modelling Phytoplankton Growth Rates under Changing Resource Conditions.

2025 CBIOMES Annual Meeting

Simons Foundation · New York City

Nearly sixty collaborators came together for three days of face-to-face connection, scientific exchange, and collaborative momentum.

CBIOMES Workshop on Modeling Primary Production

Simons Foundation · New York City

A three-day workshop on modelling primary production, bringing researchers together to discuss how to represent and understand phytoplankton productivity.

Research, in context.

Behind the Paper · Springer Nature · 2025

A simple equation for a long-standing challenge in ocean science

The story behind my work on modelling phytoplankton photoinhibition.

Read the article

Research coverage · CBIOMES · 2025

How too much sunlight limits ocean productivity

Coverage of our phytoplankton photoinhibition research.

Read the feature

Media coverage · Scienmag · 27 August 2025

New Insights into Phytoplankton Photoinhibition Dynamics

Scienmag coverage of our paper on modelling phytoplankton photoinhibition.

Read the coverage